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Finding the Fourth Proportional to 6,457.62, 8,909.01 and 5,108.97

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Solution

The fourth proportional to 6,457.62, 8,909.01 and 5,108.97 is: 7,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.62 : 8,909.01 = 5,108.97 : x
  2. Step 2: Convert to fraction form
    6,457.62/8,909.01 = 5,108.97/x
  3. Step 3: Cross multiply
    6,457.62x = 8,909.01 × 5,108.97
  4. Step 4: Simplify right side
    6,457.62x = 45,515,864.82
  5. Step 5: Solve for x
    x = 45,515,864.82/6,457.62
  6. Step 6: Final answer
    x = 7,048.40

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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.