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Finding the Fourth Proportional to 5,677.90, 7,830.47 and 3,689.15

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Solution

The fourth proportional to 5,677.90, 7,830.47 and 3,689.15 is: 5,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.90 : 7,830.47 = 3,689.15 : x
  2. Step 2: Convert to fraction form
    5,677.90/7,830.47 = 3,689.15/x
  3. Step 3: Cross multiply
    5,677.90x = 7,830.47 × 3,689.15
  4. Step 4: Simplify right side
    5,677.90x = 28,887,748.47
  5. Step 5: Solve for x
    x = 28,887,748.47/5,677.90
  6. Step 6: Final answer
    x = 5,087.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.