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Finding the Fourth Proportional to 4,138.57, 5,710 and 2,459.13

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Solution

The fourth proportional to 4,138.57, 5,710 and 2,459.13 is: 3,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.57 : 5,710 = 2,459.13 : x
  2. Step 2: Convert to fraction form
    4,138.57/5,710 = 2,459.13/x
  3. Step 3: Cross multiply
    4,138.57x = 5,710 × 2,459.13
  4. Step 4: Simplify right side
    4,138.57x = 14,041,632.30
  5. Step 5: Solve for x
    x = 14,041,632.30/4,138.57
  6. Step 6: Final answer
    x = 3,392.87

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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.