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Finding the Fourth Proportional to 3,436.64, 4,742.59 and 1,864.73

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Solution

The fourth proportional to 3,436.64, 4,742.59 and 1,864.73 is: 2,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.64 : 4,742.59 = 1,864.73 : x
  2. Step 2: Convert to fraction form
    3,436.64/4,742.59 = 1,864.73/x
  3. Step 3: Cross multiply
    3,436.64x = 4,742.59 × 1,864.73
  4. Step 4: Simplify right side
    3,436.64x = 8,843,649.85
  5. Step 5: Solve for x
    x = 8,843,649.85/3,436.64
  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.