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Finding the Fourth Proportional to 3,870.41, 5,341.21 and 2,102.04

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Solution

The fourth proportional to 3,870.41, 5,341.21 and 2,102.04 is: 2,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.41 : 5,341.21 = 2,102.04 : x
  2. Step 2: Convert to fraction form
    3,870.41/5,341.21 = 2,102.04/x
  3. Step 3: Cross multiply
    3,870.41x = 5,341.21 × 2,102.04
  4. Step 4: Simplify right side
    3,870.41x = 11,227,431.81
  5. Step 5: Solve for x
    x = 11,227,431.81/3,870.41
  6. Step 6: Final answer
    x = 2,900.84

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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.