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Finding the Fourth Proportional to 4,242.32, 6,364.12 and 1,469.68

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Solution

The fourth proportional to 4,242.32, 6,364.12 and 1,469.68 is: 2,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.32 : 6,364.12 = 1,469.68 : x
  2. Step 2: Convert to fraction form
    4,242.32/6,364.12 = 1,469.68/x
  3. Step 3: Cross multiply
    4,242.32x = 6,364.12 × 1,469.68
  4. Step 4: Simplify right side
    4,242.32x = 9,353,219.88
  5. Step 5: Solve for x
    x = 9,353,219.88/4,242.32
  6. Step 6: Final answer
    x = 2,204.74

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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.