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Finding the Fourth Proportional to 5,151.51, 7,724.36 and 1,640.90

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Solution

The fourth proportional to 5,151.51, 7,724.36 and 1,640.90 is: 2,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.51 : 7,724.36 = 1,640.90 : x
  2. Step 2: Convert to fraction form
    5,151.51/7,724.36 = 1,640.90/x
  3. Step 3: Cross multiply
    5,151.51x = 7,724.36 × 1,640.90
  4. Step 4: Simplify right side
    5,151.51x = 12,674,855.50
  5. Step 5: Solve for x
    x = 12,674,855.50/5,151.51
  6. Step 6: Final answer
    x = 2,460.42

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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.