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Finding the Fourth Proportional to 5,861.66, 8,088.80 and 3,209

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Solution

The fourth proportional to 5,861.66, 8,088.80 and 3,209 is: 4,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.66 : 8,088.80 = 3,209 : x
  2. Step 2: Convert to fraction form
    5,861.66/8,088.80 = 3,209/x
  3. Step 3: Cross multiply
    5,861.66x = 8,088.80 × 3,209
  4. Step 4: Simplify right side
    5,861.66x = 25,956,959.20
  5. Step 5: Solve for x
    x = 25,956,959.20/5,861.66
  6. Step 6: Final answer
    x = 4,428.26

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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.