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Finding the Fourth Proportional to 5,357.53, 8,036.16 and 1,659.61

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Solution

The fourth proportional to 5,357.53, 8,036.16 and 1,659.61 is: 2,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.53 : 8,036.16 = 1,659.61 : x
  2. Step 2: Convert to fraction form
    5,357.53/8,036.16 = 1,659.61/x
  3. Step 3: Cross multiply
    5,357.53x = 8,036.16 × 1,659.61
  4. Step 4: Simplify right side
    5,357.53x = 13,336,891.50
  5. Step 5: Solve for x
    x = 13,336,891.50/5,357.53
  6. Step 6: Final answer
    x = 2,489.37

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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.