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Finding the Fourth Proportional to 4,330.53, 6,489.32 and 4,006.53

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Solution

The fourth proportional to 4,330.53, 6,489.32 and 4,006.53 is: 6,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.53 : 6,489.32 = 4,006.53 : x
  2. Step 2: Convert to fraction form
    4,330.53/6,489.32 = 4,006.53/x
  3. Step 3: Cross multiply
    4,330.53x = 6,489.32 × 4,006.53
  4. Step 4: Simplify right side
    4,330.53x = 25,999,635.23
  5. Step 5: Solve for x
    x = 25,999,635.23/4,330.53
  6. Step 6: Final answer
    x = 6,003.80

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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.