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Finding the Fourth Proportional to 3,870.61, 5,341.46 and 2,102.22

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Solution

The fourth proportional to 3,870.61, 5,341.46 and 2,102.22 is: 2,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.61 : 5,341.46 = 2,102.22 : x
  2. Step 2: Convert to fraction form
    3,870.61/5,341.46 = 2,102.22/x
  3. Step 3: Cross multiply
    3,870.61x = 5,341.46 × 2,102.22
  4. Step 4: Simplify right side
    3,870.61x = 11,228,913.53
  5. Step 5: Solve for x
    x = 11,228,913.53/3,870.61
  6. Step 6: Final answer
    x = 2,901.07

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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.