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Finding the Fourth Proportional to 5,157.26, 7,731.13 and 1,869.47

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Solution

The fourth proportional to 5,157.26, 7,731.13 and 1,869.47 is: 2,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.26 : 7,731.13 = 1,869.47 : x
  2. Step 2: Convert to fraction form
    5,157.26/7,731.13 = 1,869.47/x
  3. Step 3: Cross multiply
    5,157.26x = 7,731.13 × 1,869.47
  4. Step 4: Simplify right side
    5,157.26x = 14,453,115.60
  5. Step 5: Solve for x
    x = 14,453,115.60/5,157.26
  6. Step 6: Final answer
    x = 2,802.48

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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.