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Finding the Fourth Proportional to 4,323.50, 6,479.78 and 2,762.90

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Solution

The fourth proportional to 4,323.50, 6,479.78 and 2,762.90 is: 4,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.50 : 6,479.78 = 2,762.90 : x
  2. Step 2: Convert to fraction form
    4,323.50/6,479.78 = 2,762.90/x
  3. Step 3: Cross multiply
    4,323.50x = 6,479.78 × 2,762.90
  4. Step 4: Simplify right side
    4,323.50x = 17,902,984.16
  5. Step 5: Solve for x
    x = 17,902,984.16/4,323.50
  6. Step 6: Final answer
    x = 4,140.85

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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.