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Finding the Fourth Proportional to 5,885.82, 8,827.61 and 1,726.02

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Solution

The fourth proportional to 5,885.82, 8,827.61 and 1,726.02 is: 2,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.82 : 8,827.61 = 1,726.02 : x
  2. Step 2: Convert to fraction form
    5,885.82/8,827.61 = 1,726.02/x
  3. Step 3: Cross multiply
    5,885.82x = 8,827.61 × 1,726.02
  4. Step 4: Simplify right side
    5,885.82x = 15,236,622.78
  5. Step 5: Solve for x
    x = 15,236,622.78/5,885.82
  6. Step 6: Final answer
    x = 2,588.70

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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.