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Finding the Fourth Proportional to 3,502.68, 5,247.14 and 2,038.76

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Solution

The fourth proportional to 3,502.68, 5,247.14 and 2,038.76 is: 3,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.68 : 5,247.14 = 2,038.76 : x
  2. Step 2: Convert to fraction form
    3,502.68/5,247.14 = 2,038.76/x
  3. Step 3: Cross multiply
    3,502.68x = 5,247.14 × 2,038.76
  4. Step 4: Simplify right side
    3,502.68x = 10,697,659.15
  5. Step 5: Solve for x
    x = 10,697,659.15/3,502.68
  6. Step 6: Final answer
    x = 3,054.14

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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.