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Finding the Fourth Proportional to 5,864.48, 8,092.42 and 3,346

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Solution

The fourth proportional to 5,864.48, 8,092.42 and 3,346 is: 4,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.48 : 8,092.42 = 3,346 : x
  2. Step 2: Convert to fraction form
    5,864.48/8,092.42 = 3,346/x
  3. Step 3: Cross multiply
    5,864.48x = 8,092.42 × 3,346
  4. Step 4: Simplify right side
    5,864.48x = 27,077,237.32
  5. Step 5: Solve for x
    x = 27,077,237.32/5,864.48
  6. Step 6: Final answer
    x = 4,617.16

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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.