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Finding the Fourth Proportional to 3,527.32, 5,291.14 and 1,966.14

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Solution

The fourth proportional to 3,527.32, 5,291.14 and 1,966.14 is: 2,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.32 : 5,291.14 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    3,527.32/5,291.14 = 1,966.14/x
  3. Step 3: Cross multiply
    3,527.32x = 5,291.14 × 1,966.14
  4. Step 4: Simplify right side
    3,527.32x = 10,403,122.00
  5. Step 5: Solve for x
    x = 10,403,122.00/3,527.32
  6. Step 6: Final answer
    x = 2,949.30

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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.