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Finding the Fourth Proportional to 5,458.90, 8,189.70 and 1,761.52

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Solution

The fourth proportional to 5,458.90, 8,189.70 and 1,761.52 is: 2,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.90 : 8,189.70 = 1,761.52 : x
  2. Step 2: Convert to fraction form
    5,458.90/8,189.70 = 1,761.52/x
  3. Step 3: Cross multiply
    5,458.90x = 8,189.70 × 1,761.52
  4. Step 4: Simplify right side
    5,458.90x = 14,426,320.34
  5. Step 5: Solve for x
    x = 14,426,320.34/5,458.90
  6. Step 6: Final answer
    x = 2,642.72

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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.