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Finding the Fourth Proportional to 5,704, 8,557.44 and 1,600

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Solution

The fourth proportional to 5,704, 8,557.44 and 1,600 is: 2,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704 : 8,557.44 = 1,600 : x
  2. Step 2: Convert to fraction form
    5,704/8,557.44 = 1,600/x
  3. Step 3: Cross multiply
    5,704x = 8,557.44 × 1,600
  4. Step 4: Simplify right side
    5,704x = 13,691,904
  5. Step 5: Solve for x
    x = 13,691,904/5,704
  6. Step 6: Final answer
    x = 2,400.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.