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Finding the Fourth Proportional to 5,830.92, 8,046.64 and 3,178.33

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Solution

The fourth proportional to 5,830.92, 8,046.64 and 3,178.33 is: 4,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.92 : 8,046.64 = 3,178.33 : x
  2. Step 2: Convert to fraction form
    5,830.92/8,046.64 = 3,178.33/x
  3. Step 3: Cross multiply
    5,830.92x = 8,046.64 × 3,178.33
  4. Step 4: Simplify right side
    5,830.92x = 25,574,877.31
  5. Step 5: Solve for x
    x = 25,574,877.31/5,830.92
  6. Step 6: Final answer
    x = 4,386.08

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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.