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Finding the Fourth Proportional to 3,688.84, 5,093.04 and 2,363.14

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Solution

The fourth proportional to 3,688.84, 5,093.04 and 2,363.14 is: 3,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.84 : 5,093.04 = 2,363.14 : x
  2. Step 2: Convert to fraction form
    3,688.84/5,093.04 = 2,363.14/x
  3. Step 3: Cross multiply
    3,688.84x = 5,093.04 × 2,363.14
  4. Step 4: Simplify right side
    3,688.84x = 12,035,566.55
  5. Step 5: Solve for x
    x = 12,035,566.55/3,688.84
  6. Step 6: Final answer
    x = 3,262.70

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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.