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Finding the Fourth Proportional to 3,436.22, 4,742.01 and 1,864.32

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Solution

The fourth proportional to 3,436.22, 4,742.01 and 1,864.32 is: 2,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.22 : 4,742.01 = 1,864.32 : x
  2. Step 2: Convert to fraction form
    3,436.22/4,742.01 = 1,864.32/x
  3. Step 3: Cross multiply
    3,436.22x = 4,742.01 × 1,864.32
  4. Step 4: Simplify right side
    3,436.22x = 8,840,624.08
  5. Step 5: Solve for x
    x = 8,840,624.08/3,436.22
  6. Step 6: Final answer
    x = 2,572.78

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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.