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Finding the Fourth Proportional to 5,061.60, 7,593.48 and 2,138.40

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Solution

The fourth proportional to 5,061.60, 7,593.48 and 2,138.40 is: 3,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.60 : 7,593.48 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    5,061.60/7,593.48 = 2,138.40/x
  3. Step 3: Cross multiply
    5,061.60x = 7,593.48 × 2,138.40
  4. Step 4: Simplify right side
    5,061.60x = 16,237,897.63
  5. Step 5: Solve for x
    x = 16,237,897.63/5,061.60
  6. Step 6: Final answer
    x = 3,208.06

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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.