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Finding the Fourth Proportional to 3,613.68, 5,420.88 and 981.23

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Solution

The fourth proportional to 3,613.68, 5,420.88 and 981.23 is: 1,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.68 : 5,420.88 = 981.23 : x
  2. Step 2: Convert to fraction form
    3,613.68/5,420.88 = 981.23/x
  3. Step 3: Cross multiply
    3,613.68x = 5,420.88 × 981.23
  4. Step 4: Simplify right side
    3,613.68x = 5,319,102.98
  5. Step 5: Solve for x
    x = 5,319,102.98/3,613.68
  6. Step 6: Final answer
    x = 1,471.94

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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.