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Finding the Fourth Proportional to 4,865.80, 7,298.70 and 4,232.20

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Solution

The fourth proportional to 4,865.80, 7,298.70 and 4,232.20 is: 6,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.80 : 7,298.70 = 4,232.20 : x
  2. Step 2: Convert to fraction form
    4,865.80/7,298.70 = 4,232.20/x
  3. Step 3: Cross multiply
    4,865.80x = 7,298.70 × 4,232.20
  4. Step 4: Simplify right side
    4,865.80x = 30,889,558.14
  5. Step 5: Solve for x
    x = 30,889,558.14/4,865.80
  6. Step 6: Final answer
    x = 6,348.30

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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.