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Finding the Fourth Proportional to 5,698,766.82, 7,864,301.47 and 3,085,271.58

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Solution

The fourth proportional to 5,698,766.82, 7,864,301.47 and 3,085,271.58 is: 4,257,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698,766.82 : 7,864,301.47 = 3,085,271.58 : x
  2. Step 2: Convert to fraction form
    5,698,766.82/7,864,301.47 = 3,085,271.58/x
  3. Step 3: Cross multiply
    5,698,766.82x = 7,864,301.47 × 3,085,271.58
  4. Step 4: Simplify right side
    5,698,766.82x = 24,263,505,821,645.20
  5. Step 5: Solve for x
    x = 24,263,505,821,645.20/5,698,766.82
  6. Step 6: Final answer
    x = 4,257,676.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.