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Finding the Fourth Proportional to 5,700.08, 7,864.44 and 3,342.32

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Solution

The fourth proportional to 5,700.08, 7,864.44 and 3,342.32 is: 4,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.08 : 7,864.44 = 3,342.32 : x
  2. Step 2: Convert to fraction form
    5,700.08/7,864.44 = 3,342.32/x
  3. Step 3: Cross multiply
    5,700.08x = 7,864.44 × 3,342.32
  4. Step 4: Simplify right side
    5,700.08x = 26,285,475.10
  5. Step 5: Solve for x
    x = 26,285,475.10/5,700.08
  6. Step 6: Final answer
    x = 4,611.42

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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.