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Finding the Fourth Proportional to 3,532.52, 5,298.87 and 1,971.65

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Solution

The fourth proportional to 3,532.52, 5,298.87 and 1,971.65 is: 2,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.52 : 5,298.87 = 1,971.65 : x
  2. Step 2: Convert to fraction form
    3,532.52/5,298.87 = 1,971.65/x
  3. Step 3: Cross multiply
    3,532.52x = 5,298.87 × 1,971.65
  4. Step 4: Simplify right side
    3,532.52x = 10,447,497.93
  5. Step 5: Solve for x
    x = 10,447,497.93/3,532.52
  6. Step 6: Final answer
    x = 2,957.52

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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.