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Finding the Fourth Proportional to 4,867.87, 7,301.70 and 1,580.96

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Solution

The fourth proportional to 4,867.87, 7,301.70 and 1,580.96 is: 2,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.87 : 7,301.70 = 1,580.96 : x
  2. Step 2: Convert to fraction form
    4,867.87/7,301.70 = 1,580.96/x
  3. Step 3: Cross multiply
    4,867.87x = 7,301.70 × 1,580.96
  4. Step 4: Simplify right side
    4,867.87x = 11,543,695.63
  5. Step 5: Solve for x
    x = 11,543,695.63/4,867.87
  6. Step 6: Final answer
    x = 2,371.41

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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.