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Finding the Fourth Proportional to 4,807.34, 7,209.52 and 2,033.97

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Solution

The fourth proportional to 4,807.34, 7,209.52 and 2,033.97 is: 3,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.34 : 7,209.52 = 2,033.97 : x
  2. Step 2: Convert to fraction form
    4,807.34/7,209.52 = 2,033.97/x
  3. Step 3: Cross multiply
    4,807.34x = 7,209.52 × 2,033.97
  4. Step 4: Simplify right side
    4,807.34x = 14,663,901.18
  5. Step 5: Solve for x
    x = 14,663,901.18/4,807.34
  6. Step 6: Final answer
    x = 3,050.32

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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.