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Finding the Fourth Proportional to 5,297.06, 7,309.98 and 3,200.78

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Solution

The fourth proportional to 5,297.06, 7,309.98 and 3,200.78 is: 4,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.06 : 7,309.98 = 3,200.78 : x
  2. Step 2: Convert to fraction form
    5,297.06/7,309.98 = 3,200.78/x
  3. Step 3: Cross multiply
    5,297.06x = 7,309.98 × 3,200.78
  4. Step 4: Simplify right side
    5,297.06x = 23,397,637.78
  5. Step 5: Solve for x
    x = 23,397,637.78/5,297.06
  6. Step 6: Final answer
    x = 4,417.10

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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.