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Finding the Fourth Proportional to 4,549.84, 6,278.86 and 2,662.76

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Solution

The fourth proportional to 4,549.84, 6,278.86 and 2,662.76 is: 3,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.84 : 6,278.86 = 2,662.76 : x
  2. Step 2: Convert to fraction form
    4,549.84/6,278.86 = 2,662.76/x
  3. Step 3: Cross multiply
    4,549.84x = 6,278.86 × 2,662.76
  4. Step 4: Simplify right side
    4,549.84x = 16,719,097.25
  5. Step 5: Solve for x
    x = 16,719,097.25/4,549.84
  6. Step 6: Final answer
    x = 3,674.66

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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.