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Finding the Fourth Proportional to 5,639.79, 7,778.70 and 5,002.46

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Solution

The fourth proportional to 5,639.79, 7,778.70 and 5,002.46 is: 6,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.79 : 7,778.70 = 5,002.46 : x
  2. Step 2: Convert to fraction form
    5,639.79/7,778.70 = 5,002.46/x
  3. Step 3: Cross multiply
    5,639.79x = 7,778.70 × 5,002.46
  4. Step 4: Simplify right side
    5,639.79x = 38,912,596.71
  5. Step 5: Solve for x
    x = 38,912,596.71/5,639.79
  6. Step 6: Final answer
    x = 6,899.65

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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.