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Finding the Fourth Proportional to 4,813.92, 7,225.92 and 3,060.96

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Solution

The fourth proportional to 4,813.92, 7,225.92 and 3,060.96 is: 4,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.92 : 7,225.92 = 3,060.96 : x
  2. Step 2: Convert to fraction form
    4,813.92/7,225.92 = 3,060.96/x
  3. Step 3: Cross multiply
    4,813.92x = 7,225.92 × 3,060.96
  4. Step 4: Simplify right side
    4,813.92x = 22,118,252.08
  5. Step 5: Solve for x
    x = 22,118,252.08/4,813.92
  6. Step 6: Final answer
    x = 4,594.64

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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.