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Finding the Fourth Proportional to 3,642.99, 5,459.24 and 1,562.45

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Solution

The fourth proportional to 3,642.99, 5,459.24 and 1,562.45 is: 2,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.99 : 5,459.24 = 1,562.45 : x
  2. Step 2: Convert to fraction form
    3,642.99/5,459.24 = 1,562.45/x
  3. Step 3: Cross multiply
    3,642.99x = 5,459.24 × 1,562.45
  4. Step 4: Simplify right side
    3,642.99x = 8,529,754.43
  5. Step 5: Solve for x
    x = 8,529,754.43/3,642.99
  6. Step 6: Final answer
    x = 2,341.42

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1.5x scale

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.