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Finding the Fourth Proportional to 4,119.47, 6,179.15 and 999.50

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Solution

The fourth proportional to 4,119.47, 6,179.15 and 999.50 is: 1,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.47 : 6,179.15 = 999.50 : x
  2. Step 2: Convert to fraction form
    4,119.47/6,179.15 = 999.50/x
  3. Step 3: Cross multiply
    4,119.47x = 6,179.15 × 999.50
  4. Step 4: Simplify right side
    4,119.47x = 6,176,062.92
  5. Step 5: Solve for x
    x = 6,176,062.92/4,119.47
  6. Step 6: Final answer
    x = 1,499.24

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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.