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Finding the Fourth Proportional to 3,692, 5,089.28 and 2,430.88

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Solution

The fourth proportional to 3,692, 5,089.28 and 2,430.88 is: 3,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692 : 5,089.28 = 2,430.88 : x
  2. Step 2: Convert to fraction form
    3,692/5,089.28 = 2,430.88/x
  3. Step 3: Cross multiply
    3,692x = 5,089.28 × 2,430.88
  4. Step 4: Simplify right side
    3,692x = 12,371,428.97
  5. Step 5: Solve for x
    x = 12,371,428.97/3,692
  6. Step 6: Final answer
    x = 3,350.87

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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.