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Finding the Fourth Proportional to 4,497.39, 6,743.16 and 1,864.17

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Solution

The fourth proportional to 4,497.39, 6,743.16 and 1,864.17 is: 2,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.39 : 6,743.16 = 1,864.17 : x
  2. Step 2: Convert to fraction form
    4,497.39/6,743.16 = 1,864.17/x
  3. Step 3: Cross multiply
    4,497.39x = 6,743.16 × 1,864.17
  4. Step 4: Simplify right side
    4,497.39x = 12,570,396.58
  5. Step 5: Solve for x
    x = 12,570,396.58/4,497.39
  6. Step 6: Final answer
    x = 2,795.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.