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Finding the Fourth Proportional to 6,049, 8,347.62 and 4,187.08

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Solution

The fourth proportional to 6,049, 8,347.62 and 4,187.08 is: 5,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049 : 8,347.62 = 4,187.08 : x
  2. Step 2: Convert to fraction form
    6,049/8,347.62 = 4,187.08/x
  3. Step 3: Cross multiply
    6,049x = 8,347.62 × 4,187.08
  4. Step 4: Simplify right side
    6,049x = 34,952,152.75
  5. Step 5: Solve for x
    x = 34,952,152.75/6,049
  6. Step 6: Final answer
    x = 5,778.17

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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.