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Finding the Fourth Proportional to 3,486.86, 4,813.74 and 2,688.44

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Solution

The fourth proportional to 3,486.86, 4,813.74 and 2,688.44 is: 3,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.86 : 4,813.74 = 2,688.44 : x
  2. Step 2: Convert to fraction form
    3,486.86/4,813.74 = 2,688.44/x
  3. Step 3: Cross multiply
    3,486.86x = 4,813.74 × 2,688.44
  4. Step 4: Simplify right side
    3,486.86x = 12,941,451.17
  5. Step 5: Solve for x
    x = 12,941,451.17/3,486.86
  6. Step 6: Final answer
    x = 3,711.49

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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.