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Finding the Fourth Proportional to 5,894, 8,134.80 and 3,410

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Solution

The fourth proportional to 5,894, 8,134.80 and 3,410 is: 4,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894 : 8,134.80 = 3,410 : x
  2. Step 2: Convert to fraction form
    5,894/8,134.80 = 3,410/x
  3. Step 3: Cross multiply
    5,894x = 8,134.80 × 3,410
  4. Step 4: Simplify right side
    5,894x = 27,739,668
  5. Step 5: Solve for x
    x = 27,739,668/5,894
  6. Step 6: Final answer
    x = 4,706.42

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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.