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Finding the Fourth Proportional to 5,000.77, 6,898.10 and 3,233.42

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Solution

The fourth proportional to 5,000.77, 6,898.10 and 3,233.42 is: 4,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.77 : 6,898.10 = 3,233.42 : x
  2. Step 2: Convert to fraction form
    5,000.77/6,898.10 = 3,233.42/x
  3. Step 3: Cross multiply
    5,000.77x = 6,898.10 × 3,233.42
  4. Step 4: Simplify right side
    5,000.77x = 22,304,429.71
  5. Step 5: Solve for x
    x = 22,304,429.71/5,000.77
  6. Step 6: Final answer
    x = 4,460.20

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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.