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Finding the Fourth Proportional to 4,737.82, 6,536.28 and 3,145.24

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Solution

The fourth proportional to 4,737.82, 6,536.28 and 3,145.24 is: 4,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.82 : 6,536.28 = 3,145.24 : x
  2. Step 2: Convert to fraction form
    4,737.82/6,536.28 = 3,145.24/x
  3. Step 3: Cross multiply
    4,737.82x = 6,536.28 × 3,145.24
  4. Step 4: Simplify right side
    4,737.82x = 20,558,169.31
  5. Step 5: Solve for x
    x = 20,558,169.31/4,737.82
  6. Step 6: Final answer
    x = 4,339.16

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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.