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Finding the Fourth Proportional to 4,737.15, 6,536.57 and 2,641.14

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Solution

The fourth proportional to 4,737.15, 6,536.57 and 2,641.14 is: 3,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.15 : 6,536.57 = 2,641.14 : x
  2. Step 2: Convert to fraction form
    4,737.15/6,536.57 = 2,641.14/x
  3. Step 3: Cross multiply
    4,737.15x = 6,536.57 × 2,641.14
  4. Step 4: Simplify right side
    4,737.15x = 17,263,983.28
  5. Step 5: Solve for x
    x = 17,263,983.28/4,737.15
  6. Step 6: Final answer
    x = 3,644.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.