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Finding the Fourth Proportional to 3,613.40, 5,420.10 and 1,304.36

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Solution

The fourth proportional to 3,613.40, 5,420.10 and 1,304.36 is: 1,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.40 : 5,420.10 = 1,304.36 : x
  2. Step 2: Convert to fraction form
    3,613.40/5,420.10 = 1,304.36/x
  3. Step 3: Cross multiply
    3,613.40x = 5,420.10 × 1,304.36
  4. Step 4: Simplify right side
    3,613.40x = 7,069,761.64
  5. Step 5: Solve for x
    x = 7,069,761.64/3,613.40
  6. Step 6: Final answer
    x = 1,956.54

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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.