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Finding the Fourth Proportional to 5,144.96, 7,715.58 and 1,857.17

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Solution

The fourth proportional to 5,144.96, 7,715.58 and 1,857.17 is: 2,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.96 : 7,715.58 = 1,857.17 : x
  2. Step 2: Convert to fraction form
    5,144.96/7,715.58 = 1,857.17/x
  3. Step 3: Cross multiply
    5,144.96x = 7,715.58 × 1,857.17
  4. Step 4: Simplify right side
    5,144.96x = 14,329,143.71
  5. Step 5: Solve for x
    x = 14,329,143.71/5,144.96
  6. Step 6: Final answer
    x = 2,785.08

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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.