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Finding the Fourth Proportional to 5,808.71, 8,712.14 and 4,827.82

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Solution

The fourth proportional to 5,808.71, 8,712.14 and 4,827.82 is: 7,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.71 : 8,712.14 = 4,827.82 : x
  2. Step 2: Convert to fraction form
    5,808.71/8,712.14 = 4,827.82/x
  3. Step 3: Cross multiply
    5,808.71x = 8,712.14 × 4,827.82
  4. Step 4: Simplify right side
    5,808.71x = 42,060,634.02
  5. Step 5: Solve for x
    x = 42,060,634.02/5,808.71
  6. Step 6: Final answer
    x = 7,240.97

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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.