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Finding the Fourth Proportional to 3,715.68, 5,126.62 and 2,298.69

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Solution

The fourth proportional to 3,715.68, 5,126.62 and 2,298.69 is: 3,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.68 : 5,126.62 = 2,298.69 : x
  2. Step 2: Convert to fraction form
    3,715.68/5,126.62 = 2,298.69/x
  3. Step 3: Cross multiply
    3,715.68x = 5,126.62 × 2,298.69
  4. Step 4: Simplify right side
    3,715.68x = 11,784,510.13
  5. Step 5: Solve for x
    x = 11,784,510.13/3,715.68
  6. Step 6: Final answer
    x = 3,171.56

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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.