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Finding the Fourth Proportional to 4,633.46, 6,945.10 and 2,290.00

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Solution

The fourth proportional to 4,633.46, 6,945.10 and 2,290.00 is: 3,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.46 : 6,945.10 = 2,290.00 : x
  2. Step 2: Convert to fraction form
    4,633.46/6,945.10 = 2,290.00/x
  3. Step 3: Cross multiply
    4,633.46x = 6,945.10 × 2,290.00
  4. Step 4: Simplify right side
    4,633.46x = 15,904,255.91
  5. Step 5: Solve for x
    x = 15,904,255.91/4,633.46
  6. Step 6: Final answer
    x = 3,432.48

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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.