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Finding the Fourth Proportional to 5,385.48, 8,078.62 and 1,687.69

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Solution

The fourth proportional to 5,385.48, 8,078.62 and 1,687.69 is: 2,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.48 : 8,078.62 = 1,687.69 : x
  2. Step 2: Convert to fraction form
    5,385.48/8,078.62 = 1,687.69/x
  3. Step 3: Cross multiply
    5,385.48x = 8,078.62 × 1,687.69
  4. Step 4: Simplify right side
    5,385.48x = 13,634,206.19
  5. Step 5: Solve for x
    x = 13,634,206.19/5,385.48
  6. Step 6: Final answer
    x = 2,531.66

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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.