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Finding the Fourth Proportional to 3,653.16, 5,475.50 and 1,462.52

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Solution

The fourth proportional to 3,653.16, 5,475.50 and 1,462.52 is: 2,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.16 : 5,475.50 = 1,462.52 : x
  2. Step 2: Convert to fraction form
    3,653.16/5,475.50 = 1,462.52/x
  3. Step 3: Cross multiply
    3,653.16x = 5,475.50 × 1,462.52
  4. Step 4: Simplify right side
    3,653.16x = 8,008,028.26
  5. Step 5: Solve for x
    x = 8,008,028.26/3,653.16
  6. Step 6: Final answer
    x = 2,192.08

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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.