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Finding the Fourth Proportional to 4,182.78, 5,778.78 and 3,559.98

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Solution

The fourth proportional to 4,182.78, 5,778.78 and 3,559.98 is: 4,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.78 : 5,778.78 = 3,559.98 : x
  2. Step 2: Convert to fraction form
    4,182.78/5,778.78 = 3,559.98/x
  3. Step 3: Cross multiply
    4,182.78x = 5,778.78 × 3,559.98
  4. Step 4: Simplify right side
    4,182.78x = 20,572,341.22
  5. Step 5: Solve for x
    x = 20,572,341.22/4,182.78
  6. Step 6: Final answer
    x = 4,918.34

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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.