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Finding the Fourth Proportional to 5,140.49, 7,097.22 and 3,152.14

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Solution

The fourth proportional to 5,140.49, 7,097.22 and 3,152.14 is: 4,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.49 : 7,097.22 = 3,152.14 : x
  2. Step 2: Convert to fraction form
    5,140.49/7,097.22 = 3,152.14/x
  3. Step 3: Cross multiply
    5,140.49x = 7,097.22 × 3,152.14
  4. Step 4: Simplify right side
    5,140.49x = 22,371,413.31
  5. Step 5: Solve for x
    x = 22,371,413.31/5,140.49
  6. Step 6: Final answer
    x = 4,352.00

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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.