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Finding the Fourth Proportional to 4,542.95, 6,805.74 and 3,807.27

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Solution

The fourth proportional to 4,542.95, 6,805.74 and 3,807.27 is: 5,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.95 : 6,805.74 = 3,807.27 : x
  2. Step 2: Convert to fraction form
    4,542.95/6,805.74 = 3,807.27/x
  3. Step 3: Cross multiply
    4,542.95x = 6,805.74 × 3,807.27
  4. Step 4: Simplify right side
    4,542.95x = 25,911,289.73
  5. Step 5: Solve for x
    x = 25,911,289.73/4,542.95
  6. Step 6: Final answer
    x = 5,703.62

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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.