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Finding the Fourth Proportional to 5,830.97, 8,046.75 and 3,178.32

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Solution

The fourth proportional to 5,830.97, 8,046.75 and 3,178.32 is: 4,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.97 : 8,046.75 = 3,178.32 : x
  2. Step 2: Convert to fraction form
    5,830.97/8,046.75 = 3,178.32/x
  3. Step 3: Cross multiply
    5,830.97x = 8,046.75 × 3,178.32
  4. Step 4: Simplify right side
    5,830.97x = 25,575,146.46
  5. Step 5: Solve for x
    x = 25,575,146.46/5,830.97
  6. Step 6: Final answer
    x = 4,386.09

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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.