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Finding the Fourth Proportional to 6,091, 8,407.16 and 3,971.82

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Solution

The fourth proportional to 6,091, 8,407.16 and 3,971.82 is: 5,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091 : 8,407.16 = 3,971.82 : x
  2. Step 2: Convert to fraction form
    6,091/8,407.16 = 3,971.82/x
  3. Step 3: Cross multiply
    6,091x = 8,407.16 × 3,971.82
  4. Step 4: Simplify right side
    6,091x = 33,391,664.34
  5. Step 5: Solve for x
    x = 33,391,664.34/6,091
  6. Step 6: Final answer
    x = 5,482.13

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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.