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Finding the Fourth Proportional to 3,557, 5,336.28 and 1,092

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Solution

The fourth proportional to 3,557, 5,336.28 and 1,092 is: 1,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557 : 5,336.28 = 1,092 : x
  2. Step 2: Convert to fraction form
    3,557/5,336.28 = 1,092/x
  3. Step 3: Cross multiply
    3,557x = 5,336.28 × 1,092
  4. Step 4: Simplify right side
    3,557x = 5,827,217.76
  5. Step 5: Solve for x
    x = 5,827,217.76/3,557
  6. Step 6: Final answer
    x = 1,638.24

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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.