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Finding the Fourth Proportional to 4,730.48, 6,529.23 and 2,742.23

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Solution

The fourth proportional to 4,730.48, 6,529.23 and 2,742.23 is: 3,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.48 : 6,529.23 = 2,742.23 : x
  2. Step 2: Convert to fraction form
    4,730.48/6,529.23 = 2,742.23/x
  3. Step 3: Cross multiply
    4,730.48x = 6,529.23 × 2,742.23
  4. Step 4: Simplify right side
    4,730.48x = 17,904,650.38
  5. Step 5: Solve for x
    x = 17,904,650.38/4,730.48
  6. Step 6: Final answer
    x = 3,784.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.