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Finding the Fourth Proportional to 4,170.78, 5,755.70 and 2,307.78

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Solution

The fourth proportional to 4,170.78, 5,755.70 and 2,307.78 is: 3,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.78 : 5,755.70 = 2,307.78 : x
  2. Step 2: Convert to fraction form
    4,170.78/5,755.70 = 2,307.78/x
  3. Step 3: Cross multiply
    4,170.78x = 5,755.70 × 2,307.78
  4. Step 4: Simplify right side
    4,170.78x = 13,282,889.35
  5. Step 5: Solve for x
    x = 13,282,889.35/4,170.78
  6. Step 6: Final answer
    x = 3,184.75

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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.