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Finding the Fourth Proportional to 3,762.84, 5,645.70 and 1,814.88

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Solution

The fourth proportional to 3,762.84, 5,645.70 and 1,814.88 is: 2,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.84 : 5,645.70 = 1,814.88 : x
  2. Step 2: Convert to fraction form
    3,762.84/5,645.70 = 1,814.88/x
  3. Step 3: Cross multiply
    3,762.84x = 5,645.70 × 1,814.88
  4. Step 4: Simplify right side
    3,762.84x = 10,246,268.02
  5. Step 5: Solve for x
    x = 10,246,268.02/3,762.84
  6. Step 6: Final answer
    x = 2,723.01

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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.