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Finding the Fourth Proportional to 3,655.44, 5,486.76 and 2,678.76

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Solution

The fourth proportional to 3,655.44, 5,486.76 and 2,678.76 is: 4,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.44 : 5,486.76 = 2,678.76 : x
  2. Step 2: Convert to fraction form
    3,655.44/5,486.76 = 2,678.76/x
  3. Step 3: Cross multiply
    3,655.44x = 5,486.76 × 2,678.76
  4. Step 4: Simplify right side
    3,655.44x = 14,697,713.22
  5. Step 5: Solve for x
    x = 14,697,713.22/3,655.44
  6. Step 6: Final answer
    x = 4,020.78

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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.