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Finding the Fourth Proportional to 4,464.43, 6,698.48 and 1,542.97

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Solution

The fourth proportional to 4,464.43, 6,698.48 and 1,542.97 is: 2,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.43 : 6,698.48 = 1,542.97 : x
  2. Step 2: Convert to fraction form
    4,464.43/6,698.48 = 1,542.97/x
  3. Step 3: Cross multiply
    4,464.43x = 6,698.48 × 1,542.97
  4. Step 4: Simplify right side
    4,464.43x = 10,335,525.34
  5. Step 5: Solve for x
    x = 10,335,525.34/4,464.43
  6. Step 6: Final answer
    x = 2,315.08

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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.