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Finding the Fourth Proportional to 3,613.06, 5,420.31 and 1,304.74

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Solution

The fourth proportional to 3,613.06, 5,420.31 and 1,304.74 is: 1,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.06 : 5,420.31 = 1,304.74 : x
  2. Step 2: Convert to fraction form
    3,613.06/5,420.31 = 1,304.74/x
  3. Step 3: Cross multiply
    3,613.06x = 5,420.31 × 1,304.74
  4. Step 4: Simplify right side
    3,613.06x = 7,072,095.27
  5. Step 5: Solve for x
    x = 7,072,095.27/3,613.06
  6. Step 6: Final answer
    x = 1,957.37

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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.