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Finding the Fourth Proportional to 3,886.86, 5,364.45 and 2,471.70

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Solution

The fourth proportional to 3,886.86, 5,364.45 and 2,471.70 is: 3,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.86 : 5,364.45 = 2,471.70 : x
  2. Step 2: Convert to fraction form
    3,886.86/5,364.45 = 2,471.70/x
  3. Step 3: Cross multiply
    3,886.86x = 5,364.45 × 2,471.70
  4. Step 4: Simplify right side
    3,886.86x = 13,259,311.07
  5. Step 5: Solve for x
    x = 13,259,311.07/3,886.86
  6. Step 6: Final answer
    x = 3,411.32

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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.