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Finding the Fourth Proportional to 3,536.66, 4,877.62 and 2,978.44

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Solution

The fourth proportional to 3,536.66, 4,877.62 and 2,978.44 is: 4,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.66 : 4,877.62 = 2,978.44 : x
  2. Step 2: Convert to fraction form
    3,536.66/4,877.62 = 2,978.44/x
  3. Step 3: Cross multiply
    3,536.66x = 4,877.62 × 2,978.44
  4. Step 4: Simplify right side
    3,536.66x = 14,527,678.87
  5. Step 5: Solve for x
    x = 14,527,678.87/3,536.66
  6. Step 6: Final answer
    x = 4,107.74

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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.