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Finding the Fourth Proportional to 3,817.84, 5,264.46 and 3,316.18

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Solution

The fourth proportional to 3,817.84, 5,264.46 and 3,316.18 is: 4,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.84 : 5,264.46 = 3,316.18 : x
  2. Step 2: Convert to fraction form
    3,817.84/5,264.46 = 3,316.18/x
  3. Step 3: Cross multiply
    3,817.84x = 5,264.46 × 3,316.18
  4. Step 4: Simplify right side
    3,817.84x = 17,457,896.96
  5. Step 5: Solve for x
    x = 17,457,896.96/3,817.84
  6. Step 6: Final answer
    x = 4,572.72

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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.