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Finding the Fourth Proportional to 5,208.57, 7,187.79 and 2,970.54

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Solution

The fourth proportional to 5,208.57, 7,187.79 and 2,970.54 is: 4,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.57 : 7,187.79 = 2,970.54 : x
  2. Step 2: Convert to fraction form
    5,208.57/7,187.79 = 2,970.54/x
  3. Step 3: Cross multiply
    5,208.57x = 7,187.79 × 2,970.54
  4. Step 4: Simplify right side
    5,208.57x = 21,351,617.71
  5. Step 5: Solve for x
    x = 21,351,617.71/5,208.57
  6. Step 6: Final answer
    x = 4,099.32

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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.