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Finding the Fourth Proportional to 4,168.70, 6,255.51 and 1,538.04

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Solution

The fourth proportional to 4,168.70, 6,255.51 and 1,538.04 is: 2,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.70 : 6,255.51 = 1,538.04 : x
  2. Step 2: Convert to fraction form
    4,168.70/6,255.51 = 1,538.04/x
  3. Step 3: Cross multiply
    4,168.70x = 6,255.51 × 1,538.04
  4. Step 4: Simplify right side
    4,168.70x = 9,621,216.91
  5. Step 5: Solve for x
    x = 9,621,216.91/4,168.70
  6. Step 6: Final answer
    x = 2,307.97

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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.