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Finding the Fourth Proportional to 5,798.82, 8,002.34 and 3,146.22

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Solution

The fourth proportional to 5,798.82, 8,002.34 and 3,146.22 is: 4,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.82 : 8,002.34 = 3,146.22 : x
  2. Step 2: Convert to fraction form
    5,798.82/8,002.34 = 3,146.22/x
  3. Step 3: Cross multiply
    5,798.82x = 8,002.34 × 3,146.22
  4. Step 4: Simplify right side
    5,798.82x = 25,177,106.42
  5. Step 5: Solve for x
    x = 25,177,106.42/5,798.82
  6. Step 6: Final answer
    x = 4,341.76

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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.