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Finding the Fourth Proportional to 5,937.23, 8,187.95 and 5,097.66

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Solution

The fourth proportional to 5,937.23, 8,187.95 and 5,097.66 is: 7,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.23 : 8,187.95 = 5,097.66 : x
  2. Step 2: Convert to fraction form
    5,937.23/8,187.95 = 5,097.66/x
  3. Step 3: Cross multiply
    5,937.23x = 8,187.95 × 5,097.66
  4. Step 4: Simplify right side
    5,937.23x = 41,739,359.71
  5. Step 5: Solve for x
    x = 41,739,359.71/5,937.23
  6. Step 6: Final answer
    x = 7,030.11

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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.