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Finding the Fourth Proportional to 5,339.39, 8,009.28 and 1,641.60

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Solution

The fourth proportional to 5,339.39, 8,009.28 and 1,641.60 is: 2,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.39 : 8,009.28 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    5,339.39/8,009.28 = 1,641.60/x
  3. Step 3: Cross multiply
    5,339.39x = 8,009.28 × 1,641.60
  4. Step 4: Simplify right side
    5,339.39x = 13,148,034.05
  5. Step 5: Solve for x
    x = 13,148,034.05/5,339.39
  6. Step 6: Final answer
    x = 2,462.46

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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.