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Finding the Fourth Proportional to 4,857.71, 7,288.18 and 1,737.08

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Solution

The fourth proportional to 4,857.71, 7,288.18 and 1,737.08 is: 2,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.71 : 7,288.18 = 1,737.08 : x
  2. Step 2: Convert to fraction form
    4,857.71/7,288.18 = 1,737.08/x
  3. Step 3: Cross multiply
    4,857.71x = 7,288.18 × 1,737.08
  4. Step 4: Simplify right side
    4,857.71x = 12,660,138.26
  5. Step 5: Solve for x
    x = 12,660,138.26/4,857.71
  6. Step 6: Final answer
    x = 2,606.20

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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.