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Finding the Fourth Proportional to 3,496.68, 5,264.16 and 3,190.50

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Solution

The fourth proportional to 3,496.68, 5,264.16 and 3,190.50 is: 4,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.68 : 5,264.16 = 3,190.50 : x
  2. Step 2: Convert to fraction form
    3,496.68/5,264.16 = 3,190.50/x
  3. Step 3: Cross multiply
    3,496.68x = 5,264.16 × 3,190.50
  4. Step 4: Simplify right side
    3,496.68x = 16,795,294.50
  5. Step 5: Solve for x
    x = 16,795,294.50/3,496.68
  6. Step 6: Final answer
    x = 4,803.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.