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Finding the Fourth Proportional to 4,212.40, 6,323.80 and 2,652.40

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Solution

The fourth proportional to 4,212.40, 6,323.80 and 2,652.40 is: 3,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.40 : 6,323.80 = 2,652.40 : x
  2. Step 2: Convert to fraction form
    4,212.40/6,323.80 = 2,652.40/x
  3. Step 3: Cross multiply
    4,212.40x = 6,323.80 × 2,652.40
  4. Step 4: Simplify right side
    4,212.40x = 16,773,247.12
  5. Step 5: Solve for x
    x = 16,773,247.12/4,212.40
  6. Step 6: Final answer
    x = 3,981.87

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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.