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Finding the Fourth Proportional to 5,366.12, 7,407.06 and 3,380

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Solution

The fourth proportional to 5,366.12, 7,407.06 and 3,380 is: 4,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.12 : 7,407.06 = 3,380 : x
  2. Step 2: Convert to fraction form
    5,366.12/7,407.06 = 3,380/x
  3. Step 3: Cross multiply
    5,366.12x = 7,407.06 × 3,380
  4. Step 4: Simplify right side
    5,366.12x = 25,035,862.80
  5. Step 5: Solve for x
    x = 25,035,862.80/5,366.12
  6. Step 6: Final answer
    x = 4,665.54

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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.