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Finding the Fourth Proportional to 3,651.17, 5,472.50 and 1,460.52

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Solution

The fourth proportional to 3,651.17, 5,472.50 and 1,460.52 is: 2,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.17 : 5,472.50 = 1,460.52 : x
  2. Step 2: Convert to fraction form
    3,651.17/5,472.50 = 1,460.52/x
  3. Step 3: Cross multiply
    3,651.17x = 5,472.50 × 1,460.52
  4. Step 4: Simplify right side
    3,651.17x = 7,992,688.40
  5. Step 5: Solve for x
    x = 7,992,688.40/3,651.17
  6. Step 6: Final answer
    x = 2,189.08

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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.