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Finding the Fourth Proportional to 5,681.26, 7,837.98 and 4,192.74

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Solution

The fourth proportional to 5,681.26, 7,837.98 and 4,192.74 is: 5,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.26 : 7,837.98 = 4,192.74 : x
  2. Step 2: Convert to fraction form
    5,681.26/7,837.98 = 4,192.74/x
  3. Step 3: Cross multiply
    5,681.26x = 7,837.98 × 4,192.74
  4. Step 4: Simplify right side
    5,681.26x = 32,862,612.27
  5. Step 5: Solve for x
    x = 32,862,612.27/5,681.26
  6. Step 6: Final answer
    x = 5,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.