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Finding the Fourth Proportional to 3,778.74, 5,670.06 and 1,559.22

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Solution

The fourth proportional to 3,778.74, 5,670.06 and 1,559.22 is: 2,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.74 : 5,670.06 = 1,559.22 : x
  2. Step 2: Convert to fraction form
    3,778.74/5,670.06 = 1,559.22/x
  3. Step 3: Cross multiply
    3,778.74x = 5,670.06 × 1,559.22
  4. Step 4: Simplify right side
    3,778.74x = 8,840,870.95
  5. Step 5: Solve for x
    x = 8,840,870.95/3,778.74
  6. Step 6: Final answer
    x = 2,339.63

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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.