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Finding the Fourth Proportional to 4,307.66, 5,929.98 and 3,865.40

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Solution

The fourth proportional to 4,307.66, 5,929.98 and 3,865.40 is: 5,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.66 : 5,929.98 = 3,865.40 : x
  2. Step 2: Convert to fraction form
    4,307.66/5,929.98 = 3,865.40/x
  3. Step 3: Cross multiply
    4,307.66x = 5,929.98 × 3,865.40
  4. Step 4: Simplify right side
    4,307.66x = 22,921,744.69
  5. Step 5: Solve for x
    x = 22,921,744.69/4,307.66
  6. Step 6: Final answer
    x = 5,321.16

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