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Finding the Fourth Proportional to 4,170.59, 5,755.33 and 2,307.59

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Solution

The fourth proportional to 4,170.59, 5,755.33 and 2,307.59 is: 3,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.59 : 5,755.33 = 2,307.59 : x
  2. Step 2: Convert to fraction form
    4,170.59/5,755.33 = 2,307.59/x
  3. Step 3: Cross multiply
    4,170.59x = 5,755.33 × 2,307.59
  4. Step 4: Simplify right side
    4,170.59x = 13,280,941.95
  5. Step 5: Solve for x
    x = 13,280,941.95/4,170.59
  6. Step 6: Final answer
    x = 3,184.43

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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.