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Finding the Fourth Proportional to 5,755.32, 8,633.37 and 1,538.52

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Solution

The fourth proportional to 5,755.32, 8,633.37 and 1,538.52 is: 2,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.32 : 8,633.37 = 1,538.52 : x
  2. Step 2: Convert to fraction form
    5,755.32/8,633.37 = 1,538.52/x
  3. Step 3: Cross multiply
    5,755.32x = 8,633.37 × 1,538.52
  4. Step 4: Simplify right side
    5,755.32x = 13,282,612.41
  5. Step 5: Solve for x
    x = 13,282,612.41/5,755.32
  6. Step 6: Final answer
    x = 2,307.88

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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.