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Finding the Fourth Proportional to 5,635.95, 8,452.86 and 2,348.16

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Solution

The fourth proportional to 5,635.95, 8,452.86 and 2,348.16 is: 3,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.95 : 8,452.86 = 2,348.16 : x
  2. Step 2: Convert to fraction form
    5,635.95/8,452.86 = 2,348.16/x
  3. Step 3: Cross multiply
    5,635.95x = 8,452.86 × 2,348.16
  4. Step 4: Simplify right side
    5,635.95x = 19,848,667.74
  5. Step 5: Solve for x
    x = 19,848,667.74/5,635.95
  6. Step 6: Final answer
    x = 3,521.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.