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Finding the Fourth Proportional to 4,929.40, 7,397.28 and 3,174.22

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Solution

The fourth proportional to 4,929.40, 7,397.28 and 3,174.22 is: 4,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.40 : 7,397.28 = 3,174.22 : x
  2. Step 2: Convert to fraction form
    4,929.40/7,397.28 = 3,174.22/x
  3. Step 3: Cross multiply
    4,929.40x = 7,397.28 × 3,174.22
  4. Step 4: Simplify right side
    4,929.40x = 23,480,594.12
  5. Step 5: Solve for x
    x = 23,480,594.12/4,929.40
  6. Step 6: Final answer
    x = 4,763.38

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