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Finding the Fourth Proportional to 3,498.91, 5,246.70 and 2,038.48

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Solution

The fourth proportional to 3,498.91, 5,246.70 and 2,038.48 is: 3,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.91 : 5,246.70 = 2,038.48 : x
  2. Step 2: Convert to fraction form
    3,498.91/5,246.70 = 2,038.48/x
  3. Step 3: Cross multiply
    3,498.91x = 5,246.70 × 2,038.48
  4. Step 4: Simplify right side
    3,498.91x = 10,695,293.02
  5. Step 5: Solve for x
    x = 10,695,293.02/3,498.91
  6. Step 6: Final answer
    x = 3,056.75

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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.