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Finding the Fourth Proportional to 5,664.07, 8,488.80 and 4,191.49

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Solution

The fourth proportional to 5,664.07, 8,488.80 and 4,191.49 is: 6,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.07 : 8,488.80 = 4,191.49 : x
  2. Step 2: Convert to fraction form
    5,664.07/8,488.80 = 4,191.49/x
  3. Step 3: Cross multiply
    5,664.07x = 8,488.80 × 4,191.49
  4. Step 4: Simplify right side
    5,664.07x = 35,580,720.31
  5. Step 5: Solve for x
    x = 35,580,720.31/5,664.07
  6. Step 6: Final answer
    x = 6,281.83

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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.