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Finding the Fourth Proportional to 4,867.85, 7,302.92 and 1,580.69

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Solution

The fourth proportional to 4,867.85, 7,302.92 and 1,580.69 is: 2,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.85 : 7,302.92 = 1,580.69 : x
  2. Step 2: Convert to fraction form
    4,867.85/7,302.92 = 1,580.69/x
  3. Step 3: Cross multiply
    4,867.85x = 7,302.92 × 1,580.69
  4. Step 4: Simplify right side
    4,867.85x = 11,543,608.20
  5. Step 5: Solve for x
    x = 11,543,608.20/4,867.85
  6. Step 6: Final answer
    x = 2,371.40

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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.