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Finding the Fourth Proportional to 3,715.69, 5,127.65 and 2,037.06

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Solution

The fourth proportional to 3,715.69, 5,127.65 and 2,037.06 is: 2,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.69 : 5,127.65 = 2,037.06 : x
  2. Step 2: Convert to fraction form
    3,715.69/5,127.65 = 2,037.06/x
  3. Step 3: Cross multiply
    3,715.69x = 5,127.65 × 2,037.06
  4. Step 4: Simplify right side
    3,715.69x = 10,445,338.06
  5. Step 5: Solve for x
    x = 10,445,338.06/3,715.69
  6. Step 6: Final answer
    x = 2,811.14

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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.