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Finding the Fourth Proportional to 3,101.72, 4,653.35 and 1,542.47

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Solution

The fourth proportional to 3,101.72, 4,653.35 and 1,542.47 is: 2,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.72 : 4,653.35 = 1,542.47 : x
  2. Step 2: Convert to fraction form
    3,101.72/4,653.35 = 1,542.47/x
  3. Step 3: Cross multiply
    3,101.72x = 4,653.35 × 1,542.47
  4. Step 4: Simplify right side
    3,101.72x = 7,177,621.80
  5. Step 5: Solve for x
    x = 7,177,621.80/3,101.72
  6. Step 6: Final answer
    x = 2,314.08

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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.