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Finding the Fourth Proportional to 5,808.61, 8,695.76 and 3,830.59

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Solution

The fourth proportional to 5,808.61, 8,695.76 and 3,830.59 is: 5,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.61 : 8,695.76 = 3,830.59 : x
  2. Step 2: Convert to fraction form
    5,808.61/8,695.76 = 3,830.59/x
  3. Step 3: Cross multiply
    5,808.61x = 8,695.76 × 3,830.59
  4. Step 4: Simplify right side
    5,808.61x = 33,309,883.02
  5. Step 5: Solve for x
    x = 33,309,883.02/5,808.61
  6. Step 6: Final answer
    x = 5,734.57

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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.