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Finding the Fourth Proportional to 4,175.59, 6,248.76 and 3,077.23

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Solution

The fourth proportional to 4,175.59, 6,248.76 and 3,077.23 is: 4,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.59 : 6,248.76 = 3,077.23 : x
  2. Step 2: Convert to fraction form
    4,175.59/6,248.76 = 3,077.23/x
  3. Step 3: Cross multiply
    4,175.59x = 6,248.76 × 3,077.23
  4. Step 4: Simplify right side
    4,175.59x = 19,228,871.73
  5. Step 5: Solve for x
    x = 19,228,871.73/4,175.59
  6. Step 6: Final answer
    x = 4,605.07

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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.