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Finding the Fourth Proportional to 5,613.44, 8,420.16 and 5,605.28

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Solution

The fourth proportional to 5,613.44, 8,420.16 and 5,605.28 is: 8,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.44 : 8,420.16 = 5,605.28 : x
  2. Step 2: Convert to fraction form
    5,613.44/8,420.16 = 5,605.28/x
  3. Step 3: Cross multiply
    5,613.44x = 8,420.16 × 5,605.28
  4. Step 4: Simplify right side
    5,613.44x = 47,197,354.44
  5. Step 5: Solve for x
    x = 47,197,354.44/5,613.44
  6. Step 6: Final answer
    x = 8,407.92

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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.