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Finding the Fourth Proportional to 3,501.57, 5,255.31 and 1,654.01

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Solution

The fourth proportional to 3,501.57, 5,255.31 and 1,654.01 is: 2,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.57 : 5,255.31 = 1,654.01 : x
  2. Step 2: Convert to fraction form
    3,501.57/5,255.31 = 1,654.01/x
  3. Step 3: Cross multiply
    3,501.57x = 5,255.31 × 1,654.01
  4. Step 4: Simplify right side
    3,501.57x = 8,692,335.29
  5. Step 5: Solve for x
    x = 8,692,335.29/3,501.57
  6. Step 6: Final answer
    x = 2,482.41

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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.