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Finding the Fourth Proportional to 5,990.61, 8,258.99 and 4,195.68

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Solution

The fourth proportional to 5,990.61, 8,258.99 and 4,195.68 is: 5,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.61 : 8,258.99 = 4,195.68 : x
  2. Step 2: Convert to fraction form
    5,990.61/8,258.99 = 4,195.68/x
  3. Step 3: Cross multiply
    5,990.61x = 8,258.99 × 4,195.68
  4. Step 4: Simplify right side
    5,990.61x = 34,652,058.18
  5. Step 5: Solve for x
    x = 34,652,058.18/5,990.61
  6. Step 6: Final answer
    x = 5,784.40

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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.