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Finding the Fourth Proportional to 3,870.90, 5,341.71 and 2,102.49

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Solution

The fourth proportional to 3,870.90, 5,341.71 and 2,102.49 is: 2,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.90 : 5,341.71 = 2,102.49 : x
  2. Step 2: Convert to fraction form
    3,870.90/5,341.71 = 2,102.49/x
  3. Step 3: Cross multiply
    3,870.90x = 5,341.71 × 2,102.49
  4. Step 4: Simplify right side
    3,870.90x = 11,230,891.86
  5. Step 5: Solve for x
    x = 11,230,891.86/3,870.90
  6. Step 6: Final answer
    x = 2,901.36

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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.