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Finding the Fourth Proportional to 4,225.68, 6,328.80 and 3,490.20

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Solution

The fourth proportional to 4,225.68, 6,328.80 and 3,490.20 is: 5,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.68 : 6,328.80 = 3,490.20 : x
  2. Step 2: Convert to fraction form
    4,225.68/6,328.80 = 3,490.20/x
  3. Step 3: Cross multiply
    4,225.68x = 6,328.80 × 3,490.20
  4. Step 4: Simplify right side
    4,225.68x = 22,088,777.76
  5. Step 5: Solve for x
    x = 22,088,777.76/4,225.68
  6. Step 6: Final answer
    x = 5,227.27

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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.