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Finding the Fourth Proportional to 6,081, 8,388.54 and 4,088.13

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Solution

The fourth proportional to 6,081, 8,388.54 and 4,088.13 is: 5,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081 : 8,388.54 = 4,088.13 : x
  2. Step 2: Convert to fraction form
    6,081/8,388.54 = 4,088.13/x
  3. Step 3: Cross multiply
    6,081x = 8,388.54 × 4,088.13
  4. Step 4: Simplify right side
    6,081x = 34,293,442.03
  5. Step 5: Solve for x
    x = 34,293,442.03/6,081
  6. Step 6: Final answer
    x = 5,639.44

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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.