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Finding the Fourth Proportional to 4,430.64, 6,658.92 and 4,108.80

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Solution

The fourth proportional to 4,430.64, 6,658.92 and 4,108.80 is: 6,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.64 : 6,658.92 = 4,108.80 : x
  2. Step 2: Convert to fraction form
    4,430.64/6,658.92 = 4,108.80/x
  3. Step 3: Cross multiply
    4,430.64x = 6,658.92 × 4,108.80
  4. Step 4: Simplify right side
    4,430.64x = 27,360,170.50
  5. Step 5: Solve for x
    x = 27,360,170.50/4,430.64
  6. Step 6: Final answer
    x = 6,175.22

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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.