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Finding the Fourth Proportional to 5,588.64, 8,384.04 and 1,891.47

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Solution

The fourth proportional to 5,588.64, 8,384.04 and 1,891.47 is: 2,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.64 : 8,384.04 = 1,891.47 : x
  2. Step 2: Convert to fraction form
    5,588.64/8,384.04 = 1,891.47/x
  3. Step 3: Cross multiply
    5,588.64x = 8,384.04 × 1,891.47
  4. Step 4: Simplify right side
    5,588.64x = 15,858,160.14
  5. Step 5: Solve for x
    x = 15,858,160.14/5,588.64
  6. Step 6: Final answer
    x = 2,837.57

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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.