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Finding the Fourth Proportional to 3,436.62, 4,742.54 and 1,864.74

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Solution

The fourth proportional to 3,436.62, 4,742.54 and 1,864.74 is: 2,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.62 : 4,742.54 = 1,864.74 : x
  2. Step 2: Convert to fraction form
    3,436.62/4,742.54 = 1,864.74/x
  3. Step 3: Cross multiply
    3,436.62x = 4,742.54 × 1,864.74
  4. Step 4: Simplify right side
    3,436.62x = 8,843,604.04
  5. Step 5: Solve for x
    x = 8,843,604.04/3,436.62
  6. Step 6: Final answer
    x = 2,573.34

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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.