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Finding the Fourth Proportional to 5,798.81, 8,002.17 and 3,246.57

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Solution

The fourth proportional to 5,798.81, 8,002.17 and 3,246.57 is: 4,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.81 : 8,002.17 = 3,246.57 : x
  2. Step 2: Convert to fraction form
    5,798.81/8,002.17 = 3,246.57/x
  3. Step 3: Cross multiply
    5,798.81x = 8,002.17 × 3,246.57
  4. Step 4: Simplify right side
    5,798.81x = 25,979,605.06
  5. Step 5: Solve for x
    x = 25,979,605.06/5,798.81
  6. Step 6: Final answer
    x = 4,480.17

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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.