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Finding the Fourth Proportional to 3,037.62, 4,549.14 and 2,896.68

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Solution

The fourth proportional to 3,037.62, 4,549.14 and 2,896.68 is: 4,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.62 : 4,549.14 = 2,896.68 : x
  2. Step 2: Convert to fraction form
    3,037.62/4,549.14 = 2,896.68/x
  3. Step 3: Cross multiply
    3,037.62x = 4,549.14 × 2,896.68
  4. Step 4: Simplify right side
    3,037.62x = 13,177,402.86
  5. Step 5: Solve for x
    x = 13,177,402.86/3,037.62
  6. Step 6: Final answer
    x = 4,338.07

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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.