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Finding the Fourth Proportional to 3,798.87, 5,697.09 and 1,606.47

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Solution

The fourth proportional to 3,798.87, 5,697.09 and 1,606.47 is: 2,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.87 : 5,697.09 = 1,606.47 : x
  2. Step 2: Convert to fraction form
    3,798.87/5,697.09 = 1,606.47/x
  3. Step 3: Cross multiply
    3,798.87x = 5,697.09 × 1,606.47
  4. Step 4: Simplify right side
    3,798.87x = 9,152,204.17
  5. Step 5: Solve for x
    x = 9,152,204.17/3,798.87
  6. Step 6: Final answer
    x = 2,409.19

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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.