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Finding the Fourth Proportional to 6,342.03, 8,746.16 and 4,349.07

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Solution

The fourth proportional to 6,342.03, 8,746.16 and 4,349.07 is: 5,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.03 : 8,746.16 = 4,349.07 : x
  2. Step 2: Convert to fraction form
    6,342.03/8,746.16 = 4,349.07/x
  3. Step 3: Cross multiply
    6,342.03x = 8,746.16 × 4,349.07
  4. Step 4: Simplify right side
    6,342.03x = 38,037,640.33
  5. Step 5: Solve for x
    x = 38,037,640.33/6,342.03
  6. Step 6: Final answer
    x = 5,997.71

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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.