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Finding the Fourth Proportional to 5,053.61, 7,580.42 and 1,766.69

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Solution

The fourth proportional to 5,053.61, 7,580.42 and 1,766.69 is: 2,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.61 : 7,580.42 = 1,766.69 : x
  2. Step 2: Convert to fraction form
    5,053.61/7,580.42 = 1,766.69/x
  3. Step 3: Cross multiply
    5,053.61x = 7,580.42 × 1,766.69
  4. Step 4: Simplify right side
    5,053.61x = 13,392,205.47
  5. Step 5: Solve for x
    x = 13,392,205.47/5,053.61
  6. Step 6: Final answer
    x = 2,650.03

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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.