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Finding the Fourth Proportional to 5,151.40, 7,725.88 and 1,453.98

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Solution

The fourth proportional to 5,151.40, 7,725.88 and 1,453.98 is: 2,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.40 : 7,725.88 = 1,453.98 : x
  2. Step 2: Convert to fraction form
    5,151.40/7,725.88 = 1,453.98/x
  3. Step 3: Cross multiply
    5,151.40x = 7,725.88 × 1,453.98
  4. Step 4: Simplify right side
    5,151.40x = 11,233,275.00
  5. Step 5: Solve for x
    x = 11,233,275.00/5,151.40
  6. Step 6: Final answer
    x = 2,180.63

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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.