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Finding the Fourth Proportional to 4,999.20, 7,502.10 and 2,077.50

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Solution

The fourth proportional to 4,999.20, 7,502.10 and 2,077.50 is: 3,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.20 : 7,502.10 = 2,077.50 : x
  2. Step 2: Convert to fraction form
    4,999.20/7,502.10 = 2,077.50/x
  3. Step 3: Cross multiply
    4,999.20x = 7,502.10 × 2,077.50
  4. Step 4: Simplify right side
    4,999.20x = 15,585,612.75
  5. Step 5: Solve for x
    x = 15,585,612.75/4,999.20
  6. Step 6: Final answer
    x = 3,117.62

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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.