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Finding the Fourth Proportional to 4,242.60, 6,363.90 and 4,218.30

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Solution

The fourth proportional to 4,242.60, 6,363.90 and 4,218.30 is: 6,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.60 : 6,363.90 = 4,218.30 : x
  2. Step 2: Convert to fraction form
    4,242.60/6,363.90 = 4,218.30/x
  3. Step 3: Cross multiply
    4,242.60x = 6,363.90 × 4,218.30
  4. Step 4: Simplify right side
    4,242.60x = 26,844,839.37
  5. Step 5: Solve for x
    x = 26,844,839.37/4,242.60
  6. Step 6: Final answer
    x = 6,327.45

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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.