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Finding the Fourth Proportional to 3,385.96, 5,077.24 and 1,924.72

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Solution

The fourth proportional to 3,385.96, 5,077.24 and 1,924.72 is: 2,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.96 : 5,077.24 = 1,924.72 : x
  2. Step 2: Convert to fraction form
    3,385.96/5,077.24 = 1,924.72/x
  3. Step 3: Cross multiply
    3,385.96x = 5,077.24 × 1,924.72
  4. Step 4: Simplify right side
    3,385.96x = 9,772,265.37
  5. Step 5: Solve for x
    x = 9,772,265.37/3,385.96
  6. Step 6: Final answer
    x = 2,886.11

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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.