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Finding the Fourth Proportional to 4,801, 6,625.40 and 2,705.16

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Solution

The fourth proportional to 4,801, 6,625.40 and 2,705.16 is: 3,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801 : 6,625.40 = 2,705.16 : x
  2. Step 2: Convert to fraction form
    4,801/6,625.40 = 2,705.16/x
  3. Step 3: Cross multiply
    4,801x = 6,625.40 × 2,705.16
  4. Step 4: Simplify right side
    4,801x = 17,922,767.06
  5. Step 5: Solve for x
    x = 17,922,767.06/4,801
  6. Step 6: Final answer
    x = 3,733.13

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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.