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Finding the Fourth Proportional to 5,649.77, 7,778.50 and 4,851.52

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Solution

The fourth proportional to 5,649.77, 7,778.50 and 4,851.52 is: 6,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.77 : 7,778.50 = 4,851.52 : x
  2. Step 2: Convert to fraction form
    5,649.77/7,778.50 = 4,851.52/x
  3. Step 3: Cross multiply
    5,649.77x = 7,778.50 × 4,851.52
  4. Step 4: Simplify right side
    5,649.77x = 37,737,516.74
  5. Step 5: Solve for x
    x = 37,737,516.74/5,649.77
  6. Step 6: Final answer
    x = 6,679.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.