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Finding the Fourth Proportional to 5,140.87, 7,097.07 and 3,566.23

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Solution

The fourth proportional to 5,140.87, 7,097.07 and 3,566.23 is: 4,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.87 : 7,097.07 = 3,566.23 : x
  2. Step 2: Convert to fraction form
    5,140.87/7,097.07 = 3,566.23/x
  3. Step 3: Cross multiply
    5,140.87x = 7,097.07 × 3,566.23
  4. Step 4: Simplify right side
    5,140.87x = 25,309,783.95
  5. Step 5: Solve for x
    x = 25,309,783.95/5,140.87
  6. Step 6: Final answer
    x = 4,923.25

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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.