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Finding the Fourth Proportional to 5,253.19, 7,881.14 and 1,966.52

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Solution

The fourth proportional to 5,253.19, 7,881.14 and 1,966.52 is: 2,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.19 : 7,881.14 = 1,966.52 : x
  2. Step 2: Convert to fraction form
    5,253.19/7,881.14 = 1,966.52/x
  3. Step 3: Cross multiply
    5,253.19x = 7,881.14 × 1,966.52
  4. Step 4: Simplify right side
    5,253.19x = 15,498,444.05
  5. Step 5: Solve for x
    x = 15,498,444.05/5,253.19
  6. Step 6: Final answer
    x = 2,950.29

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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.