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Finding the Fourth Proportional to 5,842, 8,062.14 and 3,358

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Solution

The fourth proportional to 5,842, 8,062.14 and 3,358 is: 4,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 8,062.14 = 3,358 : x
  2. Step 2: Convert to fraction form
    5,842/8,062.14 = 3,358/x
  3. Step 3: Cross multiply
    5,842x = 8,062.14 × 3,358
  4. Step 4: Simplify right side
    5,842x = 27,072,666.12
  5. Step 5: Solve for x
    x = 27,072,666.12/5,842
  6. Step 6: Final answer
    x = 4,634.14

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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.