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Finding the Fourth Proportional to 4,502.00, 6,743.12 and 3,713.10

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Solution

The fourth proportional to 4,502.00, 6,743.12 and 3,713.10 is: 5,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.00 : 6,743.12 = 3,713.10 : x
  2. Step 2: Convert to fraction form
    4,502.00/6,743.12 = 3,713.10/x
  3. Step 3: Cross multiply
    4,502.00x = 6,743.12 × 3,713.10
  4. Step 4: Simplify right side
    4,502.00x = 25,037,860.31
  5. Step 5: Solve for x
    x = 25,037,860.31/4,502.00
  6. Step 6: Final answer
    x = 5,561.50

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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.