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Finding the Fourth Proportional to 5,798.84, 8,002.31 and 3,146.23

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Solution

The fourth proportional to 5,798.84, 8,002.31 and 3,146.23 is: 4,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.84 : 8,002.31 = 3,146.23 : x
  2. Step 2: Convert to fraction form
    5,798.84/8,002.31 = 3,146.23/x
  3. Step 3: Cross multiply
    5,798.84x = 8,002.31 × 3,146.23
  4. Step 4: Simplify right side
    5,798.84x = 25,177,067.78
  5. Step 5: Solve for x
    x = 25,177,067.78/5,798.84
  6. Step 6: Final answer
    x = 4,341.74

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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.