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Finding the Fourth Proportional to 5,156.56, 7,726.20 and 3,610

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Solution

The fourth proportional to 5,156.56, 7,726.20 and 3,610 is: 5,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.56 : 7,726.20 = 3,610 : x
  2. Step 2: Convert to fraction form
    5,156.56/7,726.20 = 3,610/x
  3. Step 3: Cross multiply
    5,156.56x = 7,726.20 × 3,610
  4. Step 4: Simplify right side
    5,156.56x = 27,891,582
  5. Step 5: Solve for x
    x = 27,891,582/5,156.56
  6. Step 6: Final answer
    x = 5,408.95

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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.