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Finding the Fourth Proportional to 6,321.74, 9,482.03 and 2,811.90

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Solution

The fourth proportional to 6,321.74, 9,482.03 and 2,811.90 is: 4,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.74 : 9,482.03 = 2,811.90 : x
  2. Step 2: Convert to fraction form
    6,321.74/9,482.03 = 2,811.90/x
  3. Step 3: Cross multiply
    6,321.74x = 9,482.03 × 2,811.90
  4. Step 4: Simplify right side
    6,321.74x = 26,662,552.20
  5. Step 5: Solve for x
    x = 26,662,552.20/6,321.74
  6. Step 6: Final answer
    x = 4,217.60

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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.