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Finding the Fourth Proportional to 5,274.92, 7,913.33 and 1,764.59

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Solution

The fourth proportional to 5,274.92, 7,913.33 and 1,764.59 is: 2,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.92 : 7,913.33 = 1,764.59 : x
  2. Step 2: Convert to fraction form
    5,274.92/7,913.33 = 1,764.59/x
  3. Step 3: Cross multiply
    5,274.92x = 7,913.33 × 1,764.59
  4. Step 4: Simplify right side
    5,274.92x = 13,963,747.83
  5. Step 5: Solve for x
    x = 13,963,747.83/5,274.92
  6. Step 6: Final answer
    x = 2,647.20

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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.