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Finding the Fourth Proportional to 5,847.16, 8,762.16 and 2,921.44

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Solution

The fourth proportional to 5,847.16, 8,762.16 and 2,921.44 is: 4,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.16 : 8,762.16 = 2,921.44 : x
  2. Step 2: Convert to fraction form
    5,847.16/8,762.16 = 2,921.44/x
  3. Step 3: Cross multiply
    5,847.16x = 8,762.16 × 2,921.44
  4. Step 4: Simplify right side
    5,847.16x = 25,598,124.71
  5. Step 5: Solve for x
    x = 25,598,124.71/5,847.16
  6. Step 6: Final answer
    x = 4,377.87

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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.