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Finding the Fourth Proportional to 5,664.50, 7,816.12 and 3,146.57

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Solution

The fourth proportional to 5,664.50, 7,816.12 and 3,146.57 is: 4,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.50 : 7,816.12 = 3,146.57 : x
  2. Step 2: Convert to fraction form
    5,664.50/7,816.12 = 3,146.57/x
  3. Step 3: Cross multiply
    5,664.50x = 7,816.12 × 3,146.57
  4. Step 4: Simplify right side
    5,664.50x = 24,593,921.76
  5. Step 5: Solve for x
    x = 24,593,921.76/5,664.50
  6. Step 6: Final answer
    x = 4,341.77

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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.