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Finding the Fourth Proportional to 4,096.98, 6,143.04 and 2,779.92

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Solution

The fourth proportional to 4,096.98, 6,143.04 and 2,779.92 is: 4,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.98 : 6,143.04 = 2,779.92 : x
  2. Step 2: Convert to fraction form
    4,096.98/6,143.04 = 2,779.92/x
  3. Step 3: Cross multiply
    4,096.98x = 6,143.04 × 2,779.92
  4. Step 4: Simplify right side
    4,096.98x = 17,077,159.76
  5. Step 5: Solve for x
    x = 17,077,159.76/4,096.98
  6. Step 6: Final answer
    x = 4,168.23

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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.