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Finding the Fourth Proportional to 4,534.76, 6,257.16 and 2,766.93

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Solution

The fourth proportional to 4,534.76, 6,257.16 and 2,766.93 is: 3,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.76 : 6,257.16 = 2,766.93 : x
  2. Step 2: Convert to fraction form
    4,534.76/6,257.16 = 2,766.93/x
  3. Step 3: Cross multiply
    4,534.76x = 6,257.16 × 2,766.93
  4. Step 4: Simplify right side
    4,534.76x = 17,313,123.72
  5. Step 5: Solve for x
    x = 17,313,123.72/4,534.76
  6. Step 6: Final answer
    x = 3,817.87

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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.