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Finding the Fourth Proportional to 5,830.82, 8,046.88 and 3,178.22

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Solution

The fourth proportional to 5,830.82, 8,046.88 and 3,178.22 is: 4,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.82 : 8,046.88 = 3,178.22 : x
  2. Step 2: Convert to fraction form
    5,830.82/8,046.88 = 3,178.22/x
  3. Step 3: Cross multiply
    5,830.82x = 8,046.88 × 3,178.22
  4. Step 4: Simplify right side
    5,830.82x = 25,574,754.95
  5. Step 5: Solve for x
    x = 25,574,754.95/5,830.82
  6. Step 6: Final answer
    x = 4,386.13

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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.