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Finding the Fourth Proportional to 3,871.60, 5,341.50 and 2,192.82

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Solution

The fourth proportional to 3,871.60, 5,341.50 and 2,192.82 is: 3,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.60 : 5,341.50 = 2,192.82 : x
  2. Step 2: Convert to fraction form
    3,871.60/5,341.50 = 2,192.82/x
  3. Step 3: Cross multiply
    3,871.60x = 5,341.50 × 2,192.82
  4. Step 4: Simplify right side
    3,871.60x = 11,712,948.03
  5. Step 5: Solve for x
    x = 11,712,948.03/3,871.60
  6. Step 6: Final answer
    x = 3,025.35

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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.