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Finding the Fourth Proportional to 4,136, 5,707.70 and 2,273

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Solution

The fourth proportional to 4,136, 5,707.70 and 2,273 is: 3,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136 : 5,707.70 = 2,273 : x
  2. Step 2: Convert to fraction form
    4,136/5,707.70 = 2,273/x
  3. Step 3: Cross multiply
    4,136x = 5,707.70 × 2,273
  4. Step 4: Simplify right side
    4,136x = 12,973,602.10
  5. Step 5: Solve for x
    x = 12,973,602.10/4,136
  6. Step 6: Final answer
    x = 3,136.75

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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.