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Finding the Fourth Proportional to 5,208.71, 7,188.45 and 2,970.68

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Solution

The fourth proportional to 5,208.71, 7,188.45 and 2,970.68 is: 4,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.71 : 7,188.45 = 2,970.68 : x
  2. Step 2: Convert to fraction form
    5,208.71/7,188.45 = 2,970.68/x
  3. Step 3: Cross multiply
    5,208.71x = 7,188.45 × 2,970.68
  4. Step 4: Simplify right side
    5,208.71x = 21,354,584.65
  5. Step 5: Solve for x
    x = 21,354,584.65/5,208.71
  6. Step 6: Final answer
    x = 4,099.78

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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.