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Finding the Fourth Proportional to 3,642.17, 5,023.10 and 3,077.77

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Solution

The fourth proportional to 3,642.17, 5,023.10 and 3,077.77 is: 4,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.17 : 5,023.10 = 3,077.77 : x
  2. Step 2: Convert to fraction form
    3,642.17/5,023.10 = 3,077.77/x
  3. Step 3: Cross multiply
    3,642.17x = 5,023.10 × 3,077.77
  4. Step 4: Simplify right side
    3,642.17x = 15,459,905.98
  5. Step 5: Solve for x
    x = 15,459,905.98/3,642.17
  6. Step 6: Final answer
    x = 4,244.70

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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.