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Finding the Fourth Proportional to 3,557.08, 5,335.74 and 960.08

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Solution

The fourth proportional to 3,557.08, 5,335.74 and 960.08 is: 1,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.08 : 5,335.74 = 960.08 : x
  2. Step 2: Convert to fraction form
    3,557.08/5,335.74 = 960.08/x
  3. Step 3: Cross multiply
    3,557.08x = 5,335.74 × 960.08
  4. Step 4: Simplify right side
    3,557.08x = 5,122,737.26
  5. Step 5: Solve for x
    x = 5,122,737.26/3,557.08
  6. Step 6: Final answer
    x = 1,440.15

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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.