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Finding the Fourth Proportional to 5,885.66, 8,824.17 and 5,073.50

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Solution

The fourth proportional to 5,885.66, 8,824.17 and 5,073.50 is: 7,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.66 : 8,824.17 = 5,073.50 : x
  2. Step 2: Convert to fraction form
    5,885.66/8,824.17 = 5,073.50/x
  3. Step 3: Cross multiply
    5,885.66x = 8,824.17 × 5,073.50
  4. Step 4: Simplify right side
    5,885.66x = 44,769,426.50
  5. Step 5: Solve for x
    x = 44,769,426.50/5,885.66
  6. Step 6: Final answer
    x = 7,606.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.