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Finding the Fourth Proportional to 3,870.49, 5,341.23 and 2,102.09

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Solution

The fourth proportional to 3,870.49, 5,341.23 and 2,102.09 is: 2,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.49 : 5,341.23 = 2,102.09 : x
  2. Step 2: Convert to fraction form
    3,870.49/5,341.23 = 2,102.09/x
  3. Step 3: Cross multiply
    3,870.49x = 5,341.23 × 2,102.09
  4. Step 4: Simplify right side
    3,870.49x = 11,227,746.17
  5. Step 5: Solve for x
    x = 11,227,746.17/3,870.49
  6. Step 6: Final answer
    x = 2,900.86

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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.