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Finding the Fourth Proportional to 4,585.60, 6,867.60 and 3,116.80

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Solution

The fourth proportional to 4,585.60, 6,867.60 and 3,116.80 is: 4,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.60 : 6,867.60 = 3,116.80 : x
  2. Step 2: Convert to fraction form
    4,585.60/6,867.60 = 3,116.80/x
  3. Step 3: Cross multiply
    4,585.60x = 6,867.60 × 3,116.80
  4. Step 4: Simplify right side
    4,585.60x = 21,404,935.68
  5. Step 5: Solve for x
    x = 21,404,935.68/4,585.60
  6. Step 6: Final answer
    x = 4,667.86

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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.