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Finding the Fourth Proportional to 3,605.42, 5,407.92 and 1,265.53

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Solution

The fourth proportional to 3,605.42, 5,407.92 and 1,265.53 is: 1,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.42 : 5,407.92 = 1,265.53 : x
  2. Step 2: Convert to fraction form
    3,605.42/5,407.92 = 1,265.53/x
  3. Step 3: Cross multiply
    3,605.42x = 5,407.92 × 1,265.53
  4. Step 4: Simplify right side
    3,605.42x = 6,843,871.48
  5. Step 5: Solve for x
    x = 6,843,871.48/3,605.42
  6. Step 6: Final answer
    x = 1,898.22

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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.