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Finding the Fourth Proportional to 5,050.77, 7,578.36 and 1,766.22

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Solution

The fourth proportional to 5,050.77, 7,578.36 and 1,766.22 is: 2,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.77 : 7,578.36 = 1,766.22 : x
  2. Step 2: Convert to fraction form
    5,050.77/7,578.36 = 1,766.22/x
  3. Step 3: Cross multiply
    5,050.77x = 7,578.36 × 1,766.22
  4. Step 4: Simplify right side
    5,050.77x = 13,385,051.00
  5. Step 5: Solve for x
    x = 13,385,051.00/5,050.77
  6. Step 6: Final answer
    x = 2,650.10

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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.