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Finding the Fourth Proportional to 3,534.48, 5,299.29 and 1,684.17

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Solution

The fourth proportional to 3,534.48, 5,299.29 and 1,684.17 is: 2,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.48 : 5,299.29 = 1,684.17 : x
  2. Step 2: Convert to fraction form
    3,534.48/5,299.29 = 1,684.17/x
  3. Step 3: Cross multiply
    3,534.48x = 5,299.29 × 1,684.17
  4. Step 4: Simplify right side
    3,534.48x = 8,924,905.24
  5. Step 5: Solve for x
    x = 8,924,905.24/3,534.48
  6. Step 6: Final answer
    x = 2,525.10

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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.