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Finding the Fourth Proportional to 4,168.59, 6,255.34 and 1,537.94

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Solution

The fourth proportional to 4,168.59, 6,255.34 and 1,537.94 is: 2,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.59 : 6,255.34 = 1,537.94 : x
  2. Step 2: Convert to fraction form
    4,168.59/6,255.34 = 1,537.94/x
  3. Step 3: Cross multiply
    4,168.59x = 6,255.34 × 1,537.94
  4. Step 4: Simplify right side
    4,168.59x = 9,620,337.60
  5. Step 5: Solve for x
    x = 9,620,337.60/4,168.59
  6. Step 6: Final answer
    x = 2,307.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.