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Finding the Fourth Proportional to 3,652.84, 5,477.34 and 3,142.12

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Solution

The fourth proportional to 3,652.84, 5,477.34 and 3,142.12 is: 4,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.84 : 5,477.34 = 3,142.12 : x
  2. Step 2: Convert to fraction form
    3,652.84/5,477.34 = 3,142.12/x
  3. Step 3: Cross multiply
    3,652.84x = 5,477.34 × 3,142.12
  4. Step 4: Simplify right side
    3,652.84x = 17,210,459.56
  5. Step 5: Solve for x
    x = 17,210,459.56/3,652.84
  6. Step 6: Final answer
    x = 4,711.53

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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.