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Finding the Fourth Proportional to 4,959.96, 7,439.76 and 1,999.68

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Solution

The fourth proportional to 4,959.96, 7,439.76 and 1,999.68 is: 2,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.96 : 7,439.76 = 1,999.68 : x
  2. Step 2: Convert to fraction form
    4,959.96/7,439.76 = 1,999.68/x
  3. Step 3: Cross multiply
    4,959.96x = 7,439.76 × 1,999.68
  4. Step 4: Simplify right side
    4,959.96x = 14,877,139.28
  5. Step 5: Solve for x
    x = 14,877,139.28/4,959.96
  6. Step 6: Final answer
    x = 2,999.45

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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.