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Finding the Fourth Proportional to 3,527.57, 5,288.69 and 2,140.58

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Solution

The fourth proportional to 3,527.57, 5,288.69 and 2,140.58 is: 3,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.57 : 5,288.69 = 2,140.58 : x
  2. Step 2: Convert to fraction form
    3,527.57/5,288.69 = 2,140.58/x
  3. Step 3: Cross multiply
    3,527.57x = 5,288.69 × 2,140.58
  4. Step 4: Simplify right side
    3,527.57x = 11,320,826.89
  5. Step 5: Solve for x
    x = 11,320,826.89/3,527.57
  6. Step 6: Final answer
    x = 3,209.25

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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.