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Finding the Fourth Proportional to 4,901.60, 7,332.15 and 4,469.06

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Solution

The fourth proportional to 4,901.60, 7,332.15 and 4,469.06 is: 6,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.60 : 7,332.15 = 4,469.06 : x
  2. Step 2: Convert to fraction form
    4,901.60/7,332.15 = 4,469.06/x
  3. Step 3: Cross multiply
    4,901.60x = 7,332.15 × 4,469.06
  4. Step 4: Simplify right side
    4,901.60x = 32,767,818.28
  5. Step 5: Solve for x
    x = 32,767,818.28/4,901.60
  6. Step 6: Final answer
    x = 6,685.13

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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.