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Finding the Fourth Proportional to 4,469.86, 6,705.24 and 1,547.48

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Solution

The fourth proportional to 4,469.86, 6,705.24 and 1,547.48 is: 2,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.86 : 6,705.24 = 1,547.48 : x
  2. Step 2: Convert to fraction form
    4,469.86/6,705.24 = 1,547.48/x
  3. Step 3: Cross multiply
    4,469.86x = 6,705.24 × 1,547.48
  4. Step 4: Simplify right side
    4,469.86x = 10,376,224.80
  5. Step 5: Solve for x
    x = 10,376,224.80/4,469.86
  6. Step 6: Final answer
    x = 2,321.38

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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.