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Finding the Fourth Proportional to 4,862.59, 7,299.66 and 4,664.54

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Solution

The fourth proportional to 4,862.59, 7,299.66 and 4,664.54 is: 7,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.59 : 7,299.66 = 4,664.54 : x
  2. Step 2: Convert to fraction form
    4,862.59/7,299.66 = 4,664.54/x
  3. Step 3: Cross multiply
    4,862.59x = 7,299.66 × 4,664.54
  4. Step 4: Simplify right side
    4,862.59x = 34,049,556.06
  5. Step 5: Solve for x
    x = 34,049,556.06/4,862.59
  6. Step 6: Final answer
    x = 7,002.36

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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.