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Finding the Fourth Proportional to 4,473.72, 6,703.20 and 4,309.92

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Solution

The fourth proportional to 4,473.72, 6,703.20 and 4,309.92 is: 6,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.72 : 6,703.20 = 4,309.92 : x
  2. Step 2: Convert to fraction form
    4,473.72/6,703.20 = 4,309.92/x
  3. Step 3: Cross multiply
    4,473.72x = 6,703.20 × 4,309.92
  4. Step 4: Simplify right side
    4,473.72x = 28,890,255.74
  5. Step 5: Solve for x
    x = 28,890,255.74/4,473.72
  6. Step 6: Final answer
    x = 6,457.77

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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.