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Finding the Fourth Proportional to 4,432.32, 6,599.27 and 4,410.45

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Solution

The fourth proportional to 4,432.32, 6,599.27 and 4,410.45 is: 6,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.32 : 6,599.27 = 4,410.45 : x
  2. Step 2: Convert to fraction form
    4,432.32/6,599.27 = 4,410.45/x
  3. Step 3: Cross multiply
    4,432.32x = 6,599.27 × 4,410.45
  4. Step 4: Simplify right side
    4,432.32x = 29,105,761.40
  5. Step 5: Solve for x
    x = 29,105,761.40/4,432.32
  6. Step 6: Final answer
    x = 6,566.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.