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Finding the Fourth Proportional to 5,589.76, 7,714.20 and 3,232.72

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Solution

The fourth proportional to 5,589.76, 7,714.20 and 3,232.72 is: 4,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.76 : 7,714.20 = 3,232.72 : x
  2. Step 2: Convert to fraction form
    5,589.76/7,714.20 = 3,232.72/x
  3. Step 3: Cross multiply
    5,589.76x = 7,714.20 × 3,232.72
  4. Step 4: Simplify right side
    5,589.76x = 24,937,848.62
  5. Step 5: Solve for x
    x = 24,937,848.62/5,589.76
  6. Step 6: Final answer
    x = 4,461.35

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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.