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Finding the Fourth Proportional to 5,559.34, 7,670.24 and 3,201.42

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Solution

The fourth proportional to 5,559.34, 7,670.24 and 3,201.42 is: 4,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559.34 : 7,670.24 = 3,201.42 : x
  2. Step 2: Convert to fraction form
    5,559.34/7,670.24 = 3,201.42/x
  3. Step 3: Cross multiply
    5,559.34x = 7,670.24 × 3,201.42
  4. Step 4: Simplify right side
    5,559.34x = 24,555,659.74
  5. Step 5: Solve for x
    x = 24,555,659.74/5,559.34
  6. Step 6: Final answer
    x = 4,417.01

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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.