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Finding the Fourth Proportional to 5,830.88, 8,046.41 and 3,178.13

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Solution

The fourth proportional to 5,830.88, 8,046.41 and 3,178.13 is: 4,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.88 : 8,046.41 = 3,178.13 : x
  2. Step 2: Convert to fraction form
    5,830.88/8,046.41 = 3,178.13/x
  3. Step 3: Cross multiply
    5,830.88x = 8,046.41 × 3,178.13
  4. Step 4: Simplify right side
    5,830.88x = 25,572,480.89
  5. Step 5: Solve for x
    x = 25,572,480.89/5,830.88
  6. Step 6: Final answer
    x = 4,385.70

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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.