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Finding the Fourth Proportional to 5,849, 8,071.62 and 3,365

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Solution

The fourth proportional to 5,849, 8,071.62 and 3,365 is: 4,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849 : 8,071.62 = 3,365 : x
  2. Step 2: Convert to fraction form
    5,849/8,071.62 = 3,365/x
  3. Step 3: Cross multiply
    5,849x = 8,071.62 × 3,365
  4. Step 4: Simplify right side
    5,849x = 27,161,001.30
  5. Step 5: Solve for x
    x = 27,161,001.30/5,849
  6. Step 6: Final answer
    x = 4,643.70

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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.