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Finding the Fourth Proportional to 4,731.92, 7,098.08 and 1,269.16

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Solution

The fourth proportional to 4,731.92, 7,098.08 and 1,269.16 is: 1,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.92 : 7,098.08 = 1,269.16 : x
  2. Step 2: Convert to fraction form
    4,731.92/7,098.08 = 1,269.16/x
  3. Step 3: Cross multiply
    4,731.92x = 7,098.08 × 1,269.16
  4. Step 4: Simplify right side
    4,731.92x = 9,008,599.21
  5. Step 5: Solve for x
    x = 9,008,599.21/4,731.92
  6. Step 6: Final answer
    x = 1,903.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.