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Finding the Fourth Proportional to 3,688.56, 5,092.74 and 2,363.94

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Solution

The fourth proportional to 3,688.56, 5,092.74 and 2,363.94 is: 3,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.56 : 5,092.74 = 2,363.94 : x
  2. Step 2: Convert to fraction form
    3,688.56/5,092.74 = 2,363.94/x
  3. Step 3: Cross multiply
    3,688.56x = 5,092.74 × 2,363.94
  4. Step 4: Simplify right side
    3,688.56x = 12,038,931.80
  5. Step 5: Solve for x
    x = 12,038,931.80/3,688.56
  6. Step 6: Final answer
    x = 3,263.86

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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.