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Finding the Fourth Proportional to 3,436.65, 4,742.61 and 1,864.76

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Solution

The fourth proportional to 3,436.65, 4,742.61 and 1,864.76 is: 2,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.65 : 4,742.61 = 1,864.76 : x
  2. Step 2: Convert to fraction form
    3,436.65/4,742.61 = 1,864.76/x
  3. Step 3: Cross multiply
    3,436.65x = 4,742.61 × 1,864.76
  4. Step 4: Simplify right side
    3,436.65x = 8,843,796.39
  5. Step 5: Solve for x
    x = 8,843,796.39/3,436.65
  6. Step 6: Final answer
    x = 2,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.