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Finding the Fourth Proportional to 5,957.60, 8,218.80 and 4,190.40

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Solution

The fourth proportional to 5,957.60, 8,218.80 and 4,190.40 is: 5,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.60 : 8,218.80 = 4,190.40 : x
  2. Step 2: Convert to fraction form
    5,957.60/8,218.80 = 4,190.40/x
  3. Step 3: Cross multiply
    5,957.60x = 8,218.80 × 4,190.40
  4. Step 4: Simplify right side
    5,957.60x = 34,440,059.52
  5. Step 5: Solve for x
    x = 34,440,059.52/5,957.60
  6. Step 6: Final answer
    x = 5,780.86

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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.