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Finding the Fourth Proportional to 5,210.32, 7,188.24 and 2,972.32

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Solution

The fourth proportional to 5,210.32, 7,188.24 and 2,972.32 is: 4,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.32 : 7,188.24 = 2,972.32 : x
  2. Step 2: Convert to fraction form
    5,210.32/7,188.24 = 2,972.32/x
  3. Step 3: Cross multiply
    5,210.32x = 7,188.24 × 2,972.32
  4. Step 4: Simplify right side
    5,210.32x = 21,365,749.52
  5. Step 5: Solve for x
    x = 21,365,749.52/5,210.32
  6. Step 6: Final answer
    x = 4,100.66

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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.