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Finding the Fourth Proportional to 3,549.15, 5,335.20 and 3,290.31

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Solution

The fourth proportional to 3,549.15, 5,335.20 and 3,290.31 is: 4,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.15 : 5,335.20 = 3,290.31 : x
  2. Step 2: Convert to fraction form
    3,549.15/5,335.20 = 3,290.31/x
  3. Step 3: Cross multiply
    3,549.15x = 5,335.20 × 3,290.31
  4. Step 4: Simplify right side
    3,549.15x = 17,554,461.91
  5. Step 5: Solve for x
    x = 17,554,461.91/3,549.15
  6. Step 6: Final answer
    x = 4,946.10

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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.