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Finding the Fourth Proportional to 6,088.91, 8,398.35 and 4,201.20

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Solution

The fourth proportional to 6,088.91, 8,398.35 and 4,201.20 is: 5,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.91 : 8,398.35 = 4,201.20 : x
  2. Step 2: Convert to fraction form
    6,088.91/8,398.35 = 4,201.20/x
  3. Step 3: Cross multiply
    6,088.91x = 8,398.35 × 4,201.20
  4. Step 4: Simplify right side
    6,088.91x = 35,283,148.02
  5. Step 5: Solve for x
    x = 35,283,148.02/6,088.91
  6. Step 6: Final answer
    x = 5,794.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.