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Finding the Fourth Proportional to 3,917.32, 5,406.06 and 2,239

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Solution

The fourth proportional to 3,917.32, 5,406.06 and 2,239 is: 3,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.32 : 5,406.06 = 2,239 : x
  2. Step 2: Convert to fraction form
    3,917.32/5,406.06 = 2,239/x
  3. Step 3: Cross multiply
    3,917.32x = 5,406.06 × 2,239
  4. Step 4: Simplify right side
    3,917.32x = 12,104,168.34
  5. Step 5: Solve for x
    x = 12,104,168.34/3,917.32
  6. Step 6: Final answer
    x = 3,089.91

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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.