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Finding the Fourth Proportional to 5,223.43, 7,829.64 and 1,712.52

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Solution

The fourth proportional to 5,223.43, 7,829.64 and 1,712.52 is: 2,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.43 : 7,829.64 = 1,712.52 : x
  2. Step 2: Convert to fraction form
    5,223.43/7,829.64 = 1,712.52/x
  3. Step 3: Cross multiply
    5,223.43x = 7,829.64 × 1,712.52
  4. Step 4: Simplify right side
    5,223.43x = 13,408,386.96
  5. Step 5: Solve for x
    x = 13,408,386.96/5,223.43
  6. Step 6: Final answer
    x = 2,566.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.