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Finding the Fourth Proportional to 5,171.22, 7,698.35 and 5,140.47

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Solution

The fourth proportional to 5,171.22, 7,698.35 and 5,140.47 is: 7,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.22 : 7,698.35 = 5,140.47 : x
  2. Step 2: Convert to fraction form
    5,171.22/7,698.35 = 5,140.47/x
  3. Step 3: Cross multiply
    5,171.22x = 7,698.35 × 5,140.47
  4. Step 4: Simplify right side
    5,171.22x = 39,573,111.52
  5. Step 5: Solve for x
    x = 39,573,111.52/5,171.22
  6. Step 6: Final answer
    x = 7,652.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.