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Finding the Fourth Proportional to 3,871.06, 5,341.98 and 2,102.65

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Solution

The fourth proportional to 3,871.06, 5,341.98 and 2,102.65 is: 2,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.06 : 5,341.98 = 2,102.65 : x
  2. Step 2: Convert to fraction form
    3,871.06/5,341.98 = 2,102.65/x
  3. Step 3: Cross multiply
    3,871.06x = 5,341.98 × 2,102.65
  4. Step 4: Simplify right side
    3,871.06x = 11,232,314.25
  5. Step 5: Solve for x
    x = 11,232,314.25/3,871.06
  6. Step 6: Final answer
    x = 2,901.61

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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.