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Finding the Fourth Proportional to 4,447, 6,136.86 and 2,584

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Solution

The fourth proportional to 4,447, 6,136.86 and 2,584 is: 3,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447 : 6,136.86 = 2,584 : x
  2. Step 2: Convert to fraction form
    4,447/6,136.86 = 2,584/x
  3. Step 3: Cross multiply
    4,447x = 6,136.86 × 2,584
  4. Step 4: Simplify right side
    4,447x = 15,857,646.24
  5. Step 5: Solve for x
    x = 15,857,646.24/4,447
  6. Step 6: Final answer
    x = 3,565.92

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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.