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Finding the Fourth Proportional to 5,688.95, 7,847.82 and 3,698.78

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Solution

The fourth proportional to 5,688.95, 7,847.82 and 3,698.78 is: 5,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.95 : 7,847.82 = 3,698.78 : x
  2. Step 2: Convert to fraction form
    5,688.95/7,847.82 = 3,698.78/x
  3. Step 3: Cross multiply
    5,688.95x = 7,847.82 × 3,698.78
  4. Step 4: Simplify right side
    5,688.95x = 29,027,320.42
  5. Step 5: Solve for x
    x = 29,027,320.42/5,688.95
  6. Step 6: Final answer
    x = 5,102.41

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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.