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Finding the Fourth Proportional to 4,334, 5,978.49 and 2,656.22

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Solution

The fourth proportional to 4,334, 5,978.49 and 2,656.22 is: 3,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334 : 5,978.49 = 2,656.22 : x
  2. Step 2: Convert to fraction form
    4,334/5,978.49 = 2,656.22/x
  3. Step 3: Cross multiply
    4,334x = 5,978.49 × 2,656.22
  4. Step 4: Simplify right side
    4,334x = 15,880,184.71
  5. Step 5: Solve for x
    x = 15,880,184.71/4,334
  6. Step 6: Final answer
    x = 3,664.09

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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.