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Finding the Fourth Proportional to 4,176.75, 6,265.82 and 1,544.26

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Solution

The fourth proportional to 4,176.75, 6,265.82 and 1,544.26 is: 2,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.75 : 6,265.82 = 1,544.26 : x
  2. Step 2: Convert to fraction form
    4,176.75/6,265.82 = 1,544.26/x
  3. Step 3: Cross multiply
    4,176.75x = 6,265.82 × 1,544.26
  4. Step 4: Simplify right side
    4,176.75x = 9,676,055.19
  5. Step 5: Solve for x
    x = 9,676,055.19/4,176.75
  6. Step 6: Final answer
    x = 2,316.65

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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.