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Finding the Fourth Proportional to 4,585.96, 6,866.62 and 3,774.04

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Solution

The fourth proportional to 4,585.96, 6,866.62 and 3,774.04 is: 5,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.96 : 6,866.62 = 3,774.04 : x
  2. Step 2: Convert to fraction form
    4,585.96/6,866.62 = 3,774.04/x
  3. Step 3: Cross multiply
    4,585.96x = 6,866.62 × 3,774.04
  4. Step 4: Simplify right side
    4,585.96x = 25,914,898.54
  5. Step 5: Solve for x
    x = 25,914,898.54/4,585.96
  6. Step 6: Final answer
    x = 5,650.92

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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.