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Finding the Fourth Proportional to 5,159.46, 7,688.42 and 4,847.78

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Solution

The fourth proportional to 5,159.46, 7,688.42 and 4,847.78 is: 7,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.46 : 7,688.42 = 4,847.78 : x
  2. Step 2: Convert to fraction form
    5,159.46/7,688.42 = 4,847.78/x
  3. Step 3: Cross multiply
    5,159.46x = 7,688.42 × 4,847.78
  4. Step 4: Simplify right side
    5,159.46x = 37,271,768.71
  5. Step 5: Solve for x
    x = 37,271,768.71/5,159.46
  6. Step 6: Final answer
    x = 7,223.97

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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.