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Finding the Fourth Proportional to 5,339.13, 8,009.82 and 1,641.57

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Solution

The fourth proportional to 5,339.13, 8,009.82 and 1,641.57 is: 2,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.13 : 8,009.82 = 1,641.57 : x
  2. Step 2: Convert to fraction form
    5,339.13/8,009.82 = 1,641.57/x
  3. Step 3: Cross multiply
    5,339.13x = 8,009.82 × 1,641.57
  4. Step 4: Simplify right side
    5,339.13x = 13,148,680.22
  5. Step 5: Solve for x
    x = 13,148,680.22/5,339.13
  6. Step 6: Final answer
    x = 2,462.70

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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.