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Finding the Fourth Proportional to 5,194.40, 7,782.96 and 3,652.16

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Solution

The fourth proportional to 5,194.40, 7,782.96 and 3,652.16 is: 5,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.40 : 7,782.96 = 3,652.16 : x
  2. Step 2: Convert to fraction form
    5,194.40/7,782.96 = 3,652.16/x
  3. Step 3: Cross multiply
    5,194.40x = 7,782.96 × 3,652.16
  4. Step 4: Simplify right side
    5,194.40x = 28,424,615.19
  5. Step 5: Solve for x
    x = 28,424,615.19/5,194.40
  6. Step 6: Final answer
    x = 5,472.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.