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Finding the Fourth Proportional to 3,347.65, 5,021.45 and 848.86

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Solution

The fourth proportional to 3,347.65, 5,021.45 and 848.86 is: 1,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.65 : 5,021.45 = 848.86 : x
  2. Step 2: Convert to fraction form
    3,347.65/5,021.45 = 848.86/x
  3. Step 3: Cross multiply
    3,347.65x = 5,021.45 × 848.86
  4. Step 4: Simplify right side
    3,347.65x = 4,262,508.05
  5. Step 5: Solve for x
    x = 4,262,508.05/3,347.65
  6. Step 6: Final answer
    x = 1,273.28

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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.