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Finding the Fourth Proportional to 4,334, 5,981.04 and 2,471

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Solution

The fourth proportional to 4,334, 5,981.04 and 2,471 is: 3,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334 : 5,981.04 = 2,471 : x
  2. Step 2: Convert to fraction form
    4,334/5,981.04 = 2,471/x
  3. Step 3: Cross multiply
    4,334x = 5,981.04 × 2,471
  4. Step 4: Simplify right side
    4,334x = 14,779,149.84
  5. Step 5: Solve for x
    x = 14,779,149.84/4,334
  6. Step 6: Final answer
    x = 3,410.05

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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.