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Finding the Fourth Proportional to 4,970.96, 6,867.69 and 4,232.78

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Solution

The fourth proportional to 4,970.96, 6,867.69 and 4,232.78 is: 5,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.96 : 6,867.69 = 4,232.78 : x
  2. Step 2: Convert to fraction form
    4,970.96/6,867.69 = 4,232.78/x
  3. Step 3: Cross multiply
    4,970.96x = 6,867.69 × 4,232.78
  4. Step 4: Simplify right side
    4,970.96x = 29,069,420.88
  5. Step 5: Solve for x
    x = 29,069,420.88/4,970.96
  6. Step 6: Final answer
    x = 5,847.85

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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.