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Finding the Fourth Proportional to 3,313.53, 4,572.65 and 1,987.24

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Solution

The fourth proportional to 3,313.53, 4,572.65 and 1,987.24 is: 2,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.53 : 4,572.65 = 1,987.24 : x
  2. Step 2: Convert to fraction form
    3,313.53/4,572.65 = 1,987.24/x
  3. Step 3: Cross multiply
    3,313.53x = 4,572.65 × 1,987.24
  4. Step 4: Simplify right side
    3,313.53x = 9,086,952.99
  5. Step 5: Solve for x
    x = 9,086,952.99/3,313.53
  6. Step 6: Final answer
    x = 2,742.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.