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Finding the Fourth Proportional to 5,165.76, 7,734.44 and 3,607.32

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Solution

The fourth proportional to 5,165.76, 7,734.44 and 3,607.32 is: 5,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.76 : 7,734.44 = 3,607.32 : x
  2. Step 2: Convert to fraction form
    5,165.76/7,734.44 = 3,607.32/x
  3. Step 3: Cross multiply
    5,165.76x = 7,734.44 × 3,607.32
  4. Step 4: Simplify right side
    5,165.76x = 27,900,600.10
  5. Step 5: Solve for x
    x = 27,900,600.10/5,165.76
  6. Step 6: Final answer
    x = 5,401.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.