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Finding the Fourth Proportional to 5,357.88, 8,037.97 and 1,660.03

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Solution

The fourth proportional to 5,357.88, 8,037.97 and 1,660.03 is: 2,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.88 : 8,037.97 = 1,660.03 : x
  2. Step 2: Convert to fraction form
    5,357.88/8,037.97 = 1,660.03/x
  3. Step 3: Cross multiply
    5,357.88x = 8,037.97 × 1,660.03
  4. Step 4: Simplify right side
    5,357.88x = 13,343,247.09
  5. Step 5: Solve for x
    x = 13,343,247.09/5,357.88
  6. Step 6: Final answer
    x = 2,490.40

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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.