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Finding the Fourth Proportional to 4,334.86, 5,981.42 and 2,471.50

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Solution

The fourth proportional to 4,334.86, 5,981.42 and 2,471.50 is: 3,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.86 : 5,981.42 = 2,471.50 : x
  2. Step 2: Convert to fraction form
    4,334.86/5,981.42 = 2,471.50/x
  3. Step 3: Cross multiply
    4,334.86x = 5,981.42 × 2,471.50
  4. Step 4: Simplify right side
    4,334.86x = 14,783,079.53
  5. Step 5: Solve for x
    x = 14,783,079.53/4,334.86
  6. Step 6: Final answer
    x = 3,410.28

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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.