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Finding the Fourth Proportional to 5,289.60, 7,302.64 and 3,613.44

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Solution

The fourth proportional to 5,289.60, 7,302.64 and 3,613.44 is: 4,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.60 : 7,302.64 = 3,613.44 : x
  2. Step 2: Convert to fraction form
    5,289.60/7,302.64 = 3,613.44/x
  3. Step 3: Cross multiply
    5,289.60x = 7,302.64 × 3,613.44
  4. Step 4: Simplify right side
    5,289.60x = 26,387,651.48
  5. Step 5: Solve for x
    x = 26,387,651.48/5,289.60
  6. Step 6: Final answer
    x = 4,988.59

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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.