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Finding the Fourth Proportional to 5,046.86, 6,964.98 and 2,809.24

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Solution

The fourth proportional to 5,046.86, 6,964.98 and 2,809.24 is: 3,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.86 : 6,964.98 = 2,809.24 : x
  2. Step 2: Convert to fraction form
    5,046.86/6,964.98 = 2,809.24/x
  3. Step 3: Cross multiply
    5,046.86x = 6,964.98 × 2,809.24
  4. Step 4: Simplify right side
    5,046.86x = 19,566,300.42
  5. Step 5: Solve for x
    x = 19,566,300.42/5,046.86
  6. Step 6: Final answer
    x = 3,876.93

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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.