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Finding the Fourth Proportional to 4,999.74, 7,500.57 and 1,921.50

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Solution

The fourth proportional to 4,999.74, 7,500.57 and 1,921.50 is: 2,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.74 : 7,500.57 = 1,921.50 : x
  2. Step 2: Convert to fraction form
    4,999.74/7,500.57 = 1,921.50/x
  3. Step 3: Cross multiply
    4,999.74x = 7,500.57 × 1,921.50
  4. Step 4: Simplify right side
    4,999.74x = 14,412,345.26
  5. Step 5: Solve for x
    x = 14,412,345.26/4,999.74
  6. Step 6: Final answer
    x = 2,882.62

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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.