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Finding the Fourth Proportional to 3,564, 5,366.75 and 2,646.08

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Solution

The fourth proportional to 3,564, 5,366.75 and 2,646.08 is: 3,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,366.75 = 2,646.08 : x
  2. Step 2: Convert to fraction form
    3,564/5,366.75 = 2,646.08/x
  3. Step 3: Cross multiply
    3,564x = 5,366.75 × 2,646.08
  4. Step 4: Simplify right side
    3,564x = 14,200,849.84
  5. Step 5: Solve for x
    x = 14,200,849.84/3,564
  6. Step 6: Final answer
    x = 3,984.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.