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Finding the Fourth Proportional to 5,700.41, 7,866.91 and 3,182.52

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Solution

The fourth proportional to 5,700.41, 7,866.91 and 3,182.52 is: 4,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.41 : 7,866.91 = 3,182.52 : x
  2. Step 2: Convert to fraction form
    5,700.41/7,866.91 = 3,182.52/x
  3. Step 3: Cross multiply
    5,700.41x = 7,866.91 × 3,182.52
  4. Step 4: Simplify right side
    5,700.41x = 25,036,574.47
  5. Step 5: Solve for x
    x = 25,036,574.47/5,700.41
  6. Step 6: Final answer
    x = 4,392.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.