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Finding the Fourth Proportional to 4,868.02, 7,301.31 and 1,580.68

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Solution

The fourth proportional to 4,868.02, 7,301.31 and 1,580.68 is: 2,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.02 : 7,301.31 = 1,580.68 : x
  2. Step 2: Convert to fraction form
    4,868.02/7,301.31 = 1,580.68/x
  3. Step 3: Cross multiply
    4,868.02x = 7,301.31 × 1,580.68
  4. Step 4: Simplify right side
    4,868.02x = 11,541,034.69
  5. Step 5: Solve for x
    x = 11,541,034.69/4,868.02
  6. Step 6: Final answer
    x = 2,370.79

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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.