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Finding the Fourth Proportional to 4,242.72, 6,363.60 and 1,777.92

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Solution

The fourth proportional to 4,242.72, 6,363.60 and 1,777.92 is: 2,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.72 : 6,363.60 = 1,777.92 : x
  2. Step 2: Convert to fraction form
    4,242.72/6,363.60 = 1,777.92/x
  3. Step 3: Cross multiply
    4,242.72x = 6,363.60 × 1,777.92
  4. Step 4: Simplify right side
    4,242.72x = 11,313,971.71
  5. Step 5: Solve for x
    x = 11,313,971.71/4,242.72
  6. Step 6: Final answer
    x = 2,666.68

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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.