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Finding the Fourth Proportional to 5,659.01, 7,808.77 and 3,140.88

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Solution

The fourth proportional to 5,659.01, 7,808.77 and 3,140.88 is: 4,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.01 : 7,808.77 = 3,140.88 : x
  2. Step 2: Convert to fraction form
    5,659.01/7,808.77 = 3,140.88/x
  3. Step 3: Cross multiply
    5,659.01x = 7,808.77 × 3,140.88
  4. Step 4: Simplify right side
    5,659.01x = 24,526,354.77
  5. Step 5: Solve for x
    x = 24,526,354.77/5,659.01
  6. Step 6: Final answer
    x = 4,334.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.