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Finding the Fourth Proportional to 5,210.25, 7,188.72 and 2,971.31

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Solution

The fourth proportional to 5,210.25, 7,188.72 and 2,971.31 is: 4,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.25 : 7,188.72 = 2,971.31 : x
  2. Step 2: Convert to fraction form
    5,210.25/7,188.72 = 2,971.31/x
  3. Step 3: Cross multiply
    5,210.25x = 7,188.72 × 2,971.31
  4. Step 4: Simplify right side
    5,210.25x = 21,359,915.62
  5. Step 5: Solve for x
    x = 21,359,915.62/5,210.25
  6. Step 6: Final answer
    x = 4,099.60

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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.