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Finding the Fourth Proportional to 3,910.42, 5,865.56 and 988.70

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Solution

The fourth proportional to 3,910.42, 5,865.56 and 988.70 is: 1,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.42 : 5,865.56 = 988.70 : x
  2. Step 2: Convert to fraction form
    3,910.42/5,865.56 = 988.70/x
  3. Step 3: Cross multiply
    3,910.42x = 5,865.56 × 988.70
  4. Step 4: Simplify right side
    3,910.42x = 5,799,279.17
  5. Step 5: Solve for x
    x = 5,799,279.17/3,910.42
  6. Step 6: Final answer
    x = 1,483.03

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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.