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Finding the Fourth Proportional to 3,606.16, 5,405.96 and 1,297.12

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Solution

The fourth proportional to 3,606.16, 5,405.96 and 1,297.12 is: 1,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.16 : 5,405.96 = 1,297.12 : x
  2. Step 2: Convert to fraction form
    3,606.16/5,405.96 = 1,297.12/x
  3. Step 3: Cross multiply
    3,606.16x = 5,405.96 × 1,297.12
  4. Step 4: Simplify right side
    3,606.16x = 7,012,178.84
  5. Step 5: Solve for x
    x = 7,012,178.84/3,606.16
  6. Step 6: Final answer
    x = 1,944.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.