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Finding the Fourth Proportional to 5,762.88, 8,648.16 and 2,479.20

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Solution

The fourth proportional to 5,762.88, 8,648.16 and 2,479.20 is: 3,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.88 : 8,648.16 = 2,479.20 : x
  2. Step 2: Convert to fraction form
    5,762.88/8,648.16 = 2,479.20/x
  3. Step 3: Cross multiply
    5,762.88x = 8,648.16 × 2,479.20
  4. Step 4: Simplify right side
    5,762.88x = 21,440,518.27
  5. Step 5: Solve for x
    x = 21,440,518.27/5,762.88
  6. Step 6: Final answer
    x = 3,720.45

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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.