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Finding the Fourth Proportional to 5,564.42, 7,670.72 and 4,235.82

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Solution

The fourth proportional to 5,564.42, 7,670.72 and 4,235.82 is: 5,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.42 : 7,670.72 = 4,235.82 : x
  2. Step 2: Convert to fraction form
    5,564.42/7,670.72 = 4,235.82/x
  3. Step 3: Cross multiply
    5,564.42x = 7,670.72 × 4,235.82
  4. Step 4: Simplify right side
    5,564.42x = 32,491,789.19
  5. Step 5: Solve for x
    x = 32,491,789.19/5,564.42
  6. Step 6: Final answer
    x = 5,839.21

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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.