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Finding the Fourth Proportional to 3,400.80, 5,101.20 and 2,854.05

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Solution

The fourth proportional to 3,400.80, 5,101.20 and 2,854.05 is: 4,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.80 : 5,101.20 = 2,854.05 : x
  2. Step 2: Convert to fraction form
    3,400.80/5,101.20 = 2,854.05/x
  3. Step 3: Cross multiply
    3,400.80x = 5,101.20 × 2,854.05
  4. Step 4: Simplify right side
    3,400.80x = 14,559,079.86
  5. Step 5: Solve for x
    x = 14,559,079.86/3,400.80
  6. Step 6: Final answer
    x = 4,281.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.