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Finding the Fourth Proportional to 5,036.85, 6,980.31 and 4,966.38

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Solution

The fourth proportional to 5,036.85, 6,980.31 and 4,966.38 is: 6,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.85 : 6,980.31 = 4,966.38 : x
  2. Step 2: Convert to fraction form
    5,036.85/6,980.31 = 4,966.38/x
  3. Step 3: Cross multiply
    5,036.85x = 6,980.31 × 4,966.38
  4. Step 4: Simplify right side
    5,036.85x = 34,666,871.98
  5. Step 5: Solve for x
    x = 34,666,871.98/5,036.85
  6. Step 6: Final answer
    x = 6,882.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.