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Finding the Fourth Proportional to 4,133, 6,199.50 and 2,595.08

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Solution

The fourth proportional to 4,133, 6,199.50 and 2,595.08 is: 3,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133 : 6,199.50 = 2,595.08 : x
  2. Step 2: Convert to fraction form
    4,133/6,199.50 = 2,595.08/x
  3. Step 3: Cross multiply
    4,133x = 6,199.50 × 2,595.08
  4. Step 4: Simplify right side
    4,133x = 16,088,198.46
  5. Step 5: Solve for x
    x = 16,088,198.46/4,133
  6. Step 6: Final answer
    x = 3,892.62

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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.