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Finding the Fourth Proportional to 5,664.28, 7,816.86 and 3,146.32

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Solution

The fourth proportional to 5,664.28, 7,816.86 and 3,146.32 is: 4,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.28 : 7,816.86 = 3,146.32 : x
  2. Step 2: Convert to fraction form
    5,664.28/7,816.86 = 3,146.32/x
  3. Step 3: Cross multiply
    5,664.28x = 7,816.86 × 3,146.32
  4. Step 4: Simplify right side
    5,664.28x = 24,594,342.96
  5. Step 5: Solve for x
    x = 24,594,342.96/5,664.28
  6. Step 6: Final answer
    x = 4,342.01

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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.