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Finding the Fourth Proportional to 3,188.85, 4,398.17 and 2,307.57

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Solution

The fourth proportional to 3,188.85, 4,398.17 and 2,307.57 is: 3,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.85 : 4,398.17 = 2,307.57 : x
  2. Step 2: Convert to fraction form
    3,188.85/4,398.17 = 2,307.57/x
  3. Step 3: Cross multiply
    3,188.85x = 4,398.17 × 2,307.57
  4. Step 4: Simplify right side
    3,188.85x = 10,149,085.15
  5. Step 5: Solve for x
    x = 10,149,085.15/3,188.85
  6. Step 6: Final answer
    x = 3,182.68

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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.