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Finding the Fourth Proportional to 5,257.28, 7,868.91 and 3,870.32

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Solution

The fourth proportional to 5,257.28, 7,868.91 and 3,870.32 is: 5,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.28 : 7,868.91 = 3,870.32 : x
  2. Step 2: Convert to fraction form
    5,257.28/7,868.91 = 3,870.32/x
  3. Step 3: Cross multiply
    5,257.28x = 7,868.91 × 3,870.32
  4. Step 4: Simplify right side
    5,257.28x = 30,455,199.75
  5. Step 5: Solve for x
    x = 30,455,199.75/5,257.28
  6. Step 6: Final answer
    x = 5,792.96

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Why These Related Problems?

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