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Finding the Fourth Proportional to 5,314.06, 7,334.04 and 3,218.20

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Solution

The fourth proportional to 5,314.06, 7,334.04 and 3,218.20 is: 4,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.06 : 7,334.04 = 3,218.20 : x
  2. Step 2: Convert to fraction form
    5,314.06/7,334.04 = 3,218.20/x
  3. Step 3: Cross multiply
    5,314.06x = 7,334.04 × 3,218.20
  4. Step 4: Simplify right side
    5,314.06x = 23,602,407.53
  5. Step 5: Solve for x
    x = 23,602,407.53/5,314.06
  6. Step 6: Final answer
    x = 4,441.50

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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.