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Finding the Fourth Proportional to 4,242.32, 6,363.48 and 4,225.76

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Solution

The fourth proportional to 4,242.32, 6,363.48 and 4,225.76 is: 6,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.32 : 6,363.48 = 4,225.76 : x
  2. Step 2: Convert to fraction form
    4,242.32/6,363.48 = 4,225.76/x
  3. Step 3: Cross multiply
    4,242.32x = 6,363.48 × 4,225.76
  4. Step 4: Simplify right side
    4,242.32x = 26,890,539.24
  5. Step 5: Solve for x
    x = 26,890,539.24/4,242.32
  6. Step 6: Final answer
    x = 6,338.64

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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.