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Finding the Fourth Proportional to 3,169.60, 4,365.04 and 3,101.76

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Solution

The fourth proportional to 3,169.60, 4,365.04 and 3,101.76 is: 4,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.60 : 4,365.04 = 3,101.76 : x
  2. Step 2: Convert to fraction form
    3,169.60/4,365.04 = 3,101.76/x
  3. Step 3: Cross multiply
    3,169.60x = 4,365.04 × 3,101.76
  4. Step 4: Simplify right side
    3,169.60x = 13,539,306.47
  5. Step 5: Solve for x
    x = 13,539,306.47/3,169.60
  6. Step 6: Final answer
    x = 4,271.61

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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.