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Finding the Fourth Proportional to 5,937.26, 8,187.99 and 5,097.70

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Solution

The fourth proportional to 5,937.26, 8,187.99 and 5,097.70 is: 7,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.26 : 8,187.99 = 5,097.70 : x
  2. Step 2: Convert to fraction form
    5,937.26/8,187.99 = 5,097.70/x
  3. Step 3: Cross multiply
    5,937.26x = 8,187.99 × 5,097.70
  4. Step 4: Simplify right side
    5,937.26x = 41,739,875.68
  5. Step 5: Solve for x
    x = 41,739,875.68/5,937.26
  6. Step 6: Final answer
    x = 7,030.16

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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.