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Finding the Fourth Proportional to 4,737.16, 7,106.64 and 1,617.04

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Solution

The fourth proportional to 4,737.16, 7,106.64 and 1,617.04 is: 2,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.16 : 7,106.64 = 1,617.04 : x
  2. Step 2: Convert to fraction form
    4,737.16/7,106.64 = 1,617.04/x
  3. Step 3: Cross multiply
    4,737.16x = 7,106.64 × 1,617.04
  4. Step 4: Simplify right side
    4,737.16x = 11,491,721.15
  5. Step 5: Solve for x
    x = 11,491,721.15/4,737.16
  6. Step 6: Final answer
    x = 2,425.87

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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.