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Finding the Fourth Proportional to 5,882.50, 8,118.57 and 3,398.50

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Solution

The fourth proportional to 5,882.50, 8,118.57 and 3,398.50 is: 4,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.50 : 8,118.57 = 3,398.50 : x
  2. Step 2: Convert to fraction form
    5,882.50/8,118.57 = 3,398.50/x
  3. Step 3: Cross multiply
    5,882.50x = 8,118.57 × 3,398.50
  4. Step 4: Simplify right side
    5,882.50x = 27,590,960.15
  5. Step 5: Solve for x
    x = 27,590,960.15/5,882.50
  6. Step 6: Final answer
    x = 4,690.35

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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.