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Finding the Fourth Proportional to 5,084.34, 7,627.37 and 1,752.46

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Solution

The fourth proportional to 5,084.34, 7,627.37 and 1,752.46 is: 2,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.34 : 7,627.37 = 1,752.46 : x
  2. Step 2: Convert to fraction form
    5,084.34/7,627.37 = 1,752.46/x
  3. Step 3: Cross multiply
    5,084.34x = 7,627.37 × 1,752.46
  4. Step 4: Simplify right side
    5,084.34x = 13,366,660.83
  5. Step 5: Solve for x
    x = 13,366,660.83/5,084.34
  6. Step 6: Final answer
    x = 2,628.99

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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.