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Finding the Fourth Proportional to 5,882.84, 8,772.37 and 5,066.36

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Solution

The fourth proportional to 5,882.84, 8,772.37 and 5,066.36 is: 7,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.84 : 8,772.37 = 5,066.36 : x
  2. Step 2: Convert to fraction form
    5,882.84/8,772.37 = 5,066.36/x
  3. Step 3: Cross multiply
    5,882.84x = 8,772.37 × 5,066.36
  4. Step 4: Simplify right side
    5,882.84x = 44,444,031.56
  5. Step 5: Solve for x
    x = 44,444,031.56/5,882.84
  6. Step 6: Final answer
    x = 7,554.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.