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Finding the Fourth Proportional to 5,006.64, 6,908.76 and 2,882.34

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Solution

The fourth proportional to 5,006.64, 6,908.76 and 2,882.34 is: 3,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.64 : 6,908.76 = 2,882.34 : x
  2. Step 2: Convert to fraction form
    5,006.64/6,908.76 = 2,882.34/x
  3. Step 3: Cross multiply
    5,006.64x = 6,908.76 × 2,882.34
  4. Step 4: Simplify right side
    5,006.64x = 19,913,395.30
  5. Step 5: Solve for x
    x = 19,913,395.30/5,006.64
  6. Step 6: Final answer
    x = 3,977.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.