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Finding the Fourth Proportional to 4,862.33, 7,292.72 and 1,741.76

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Solution

The fourth proportional to 4,862.33, 7,292.72 and 1,741.76 is: 2,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.33 : 7,292.72 = 1,741.76 : x
  2. Step 2: Convert to fraction form
    4,862.33/7,292.72 = 1,741.76/x
  3. Step 3: Cross multiply
    4,862.33x = 7,292.72 × 1,741.76
  4. Step 4: Simplify right side
    4,862.33x = 12,702,190.57
  5. Step 5: Solve for x
    x = 12,702,190.57/4,862.33
  6. Step 6: Final answer
    x = 2,612.37

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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.