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Finding the Fourth Proportional to 3,439.54, 4,746.63 and 1,867.69

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Solution

The fourth proportional to 3,439.54, 4,746.63 and 1,867.69 is: 2,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.54 : 4,746.63 = 1,867.69 : x
  2. Step 2: Convert to fraction form
    3,439.54/4,746.63 = 1,867.69/x
  3. Step 3: Cross multiply
    3,439.54x = 4,746.63 × 1,867.69
  4. Step 4: Simplify right side
    3,439.54x = 8,865,233.38
  5. Step 5: Solve for x
    x = 8,865,233.38/3,439.54
  6. Step 6: Final answer
    x = 2,577.45

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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.