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Finding the Fourth Proportional to 5,700, 7,867.92 and 4,048.80

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Solution

The fourth proportional to 5,700, 7,867.92 and 4,048.80 is: 5,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 7,867.92 = 4,048.80 : x
  2. Step 2: Convert to fraction form
    5,700/7,867.92 = 4,048.80/x
  3. Step 3: Cross multiply
    5,700x = 7,867.92 × 4,048.80
  4. Step 4: Simplify right side
    5,700x = 31,855,634.50
  5. Step 5: Solve for x
    x = 31,855,634.50/5,700
  6. Step 6: Final answer
    x = 5,588.71

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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.