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Finding the Fourth Proportional to 5,865.03, 8,097.50 and 5,234.48

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Solution

The fourth proportional to 5,865.03, 8,097.50 and 5,234.48 is: 7,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.03 : 8,097.50 = 5,234.48 : x
  2. Step 2: Convert to fraction form
    5,865.03/8,097.50 = 5,234.48/x
  3. Step 3: Cross multiply
    5,865.03x = 8,097.50 × 5,234.48
  4. Step 4: Simplify right side
    5,865.03x = 42,386,174.40
  5. Step 5: Solve for x
    x = 42,386,174.40/5,865.03
  6. Step 6: Final answer
    x = 7,226.93

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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.