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Finding the Fourth Proportional to 5,097.83, 7,041.77 and 3,992.63

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Solution

The fourth proportional to 5,097.83, 7,041.77 and 3,992.63 is: 5,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.83 : 7,041.77 = 3,992.63 : x
  2. Step 2: Convert to fraction form
    5,097.83/7,041.77 = 3,992.63/x
  3. Step 3: Cross multiply
    5,097.83x = 7,041.77 × 3,992.63
  4. Step 4: Simplify right side
    5,097.83x = 28,115,218.21
  5. Step 5: Solve for x
    x = 28,115,218.21/5,097.83
  6. Step 6: Final answer
    x = 5,515.14

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