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Finding the Fourth Proportional to 4,469.88, 6,707.89 and 1,548.19

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Solution

The fourth proportional to 4,469.88, 6,707.89 and 1,548.19 is: 2,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.88 : 6,707.89 = 1,548.19 : x
  2. Step 2: Convert to fraction form
    4,469.88/6,707.89 = 1,548.19/x
  3. Step 3: Cross multiply
    4,469.88x = 6,707.89 × 1,548.19
  4. Step 4: Simplify right side
    4,469.88x = 10,385,088.22
  5. Step 5: Solve for x
    x = 10,385,088.22/4,469.88
  6. Step 6: Final answer
    x = 2,323.35

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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.