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Finding the Fourth Proportional to 5,242.34, 7,868.02 and 2,778.90

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Solution

The fourth proportional to 5,242.34, 7,868.02 and 2,778.90 is: 4,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.34 : 7,868.02 = 2,778.90 : x
  2. Step 2: Convert to fraction form
    5,242.34/7,868.02 = 2,778.90/x
  3. Step 3: Cross multiply
    5,242.34x = 7,868.02 × 2,778.90
  4. Step 4: Simplify right side
    5,242.34x = 21,864,440.78
  5. Step 5: Solve for x
    x = 21,864,440.78/5,242.34
  6. Step 6: Final answer
    x = 4,170.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.