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Finding the Fourth Proportional to 4,700.32, 7,043.80 and 3,218.20

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Solution

The fourth proportional to 4,700.32, 7,043.80 and 3,218.20 is: 4,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.32 : 7,043.80 = 3,218.20 : x
  2. Step 2: Convert to fraction form
    4,700.32/7,043.80 = 3,218.20/x
  3. Step 3: Cross multiply
    4,700.32x = 7,043.80 × 3,218.20
  4. Step 4: Simplify right side
    4,700.32x = 22,668,357.16
  5. Step 5: Solve for x
    x = 22,668,357.16/4,700.32
  6. Step 6: Final answer
    x = 4,822.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.