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Finding the Fourth Proportional to 4,101.60, 5,658.24 and 2,980.80

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Solution

The fourth proportional to 4,101.60, 5,658.24 and 2,980.80 is: 4,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.60 : 5,658.24 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    4,101.60/5,658.24 = 2,980.80/x
  3. Step 3: Cross multiply
    4,101.60x = 5,658.24 × 2,980.80
  4. Step 4: Simplify right side
    4,101.60x = 16,866,081.79
  5. Step 5: Solve for x
    x = 16,866,081.79/4,101.60
  6. Step 6: Final answer
    x = 4,112.07

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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.