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Finding the Fourth Proportional to 5,830.80, 8,046.40 and 3,178.20

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Solution

The fourth proportional to 5,830.80, 8,046.40 and 3,178.20 is: 4,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.80 : 8,046.40 = 3,178.20 : x
  2. Step 2: Convert to fraction form
    5,830.80/8,046.40 = 3,178.20/x
  3. Step 3: Cross multiply
    5,830.80x = 8,046.40 × 3,178.20
  4. Step 4: Simplify right side
    5,830.80x = 25,573,068.48
  5. Step 5: Solve for x
    x = 25,573,068.48/5,830.80
  6. Step 6: Final answer
    x = 4,385.86

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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.