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Finding the Fourth Proportional to 4,542.52, 6,804.84 and 3,136.72

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Solution

The fourth proportional to 4,542.52, 6,804.84 and 3,136.72 is: 4,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.52 : 6,804.84 = 3,136.72 : x
  2. Step 2: Convert to fraction form
    4,542.52/6,804.84 = 3,136.72/x
  3. Step 3: Cross multiply
    4,542.52x = 6,804.84 × 3,136.72
  4. Step 4: Simplify right side
    4,542.52x = 21,344,877.72
  5. Step 5: Solve for x
    x = 21,344,877.72/4,542.52
  6. Step 6: Final answer
    x = 4,698.91

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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.