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Finding the Fourth Proportional to 4,866.84, 7,301.31 and 1,579.86

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Solution

The fourth proportional to 4,866.84, 7,301.31 and 1,579.86 is: 2,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.84 : 7,301.31 = 1,579.86 : x
  2. Step 2: Convert to fraction form
    4,866.84/7,301.31 = 1,579.86/x
  3. Step 3: Cross multiply
    4,866.84x = 7,301.31 × 1,579.86
  4. Step 4: Simplify right side
    4,866.84x = 11,535,047.62
  5. Step 5: Solve for x
    x = 11,535,047.62/4,866.84
  6. Step 6: Final answer
    x = 2,370.13

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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.