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Finding the Fourth Proportional to 4,077.12, 5,641.24 and 3,554.24

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Solution

The fourth proportional to 4,077.12, 5,641.24 and 3,554.24 is: 4,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.12 : 5,641.24 = 3,554.24 : x
  2. Step 2: Convert to fraction form
    4,077.12/5,641.24 = 3,554.24/x
  3. Step 3: Cross multiply
    4,077.12x = 5,641.24 × 3,554.24
  4. Step 4: Simplify right side
    4,077.12x = 20,050,320.86
  5. Step 5: Solve for x
    x = 20,050,320.86/4,077.12
  6. Step 6: Final answer
    x = 4,917.77

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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.