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Finding the Fourth Proportional to 3,363.97, 4,642.13 and 1,871.77

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Solution

The fourth proportional to 3,363.97, 4,642.13 and 1,871.77 is: 2,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.97 : 4,642.13 = 1,871.77 : x
  2. Step 2: Convert to fraction form
    3,363.97/4,642.13 = 1,871.77/x
  3. Step 3: Cross multiply
    3,363.97x = 4,642.13 × 1,871.77
  4. Step 4: Simplify right side
    3,363.97x = 8,688,999.67
  5. Step 5: Solve for x
    x = 8,688,999.67/3,363.97
  6. Step 6: Final answer
    x = 2,582.96

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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.