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Finding the Fourth Proportional to 3,582.24, 4,944 and 2,010.72

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Solution

The fourth proportional to 3,582.24, 4,944 and 2,010.72 is: 2,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.24 : 4,944 = 2,010.72 : x
  2. Step 2: Convert to fraction form
    3,582.24/4,944 = 2,010.72/x
  3. Step 3: Cross multiply
    3,582.24x = 4,944 × 2,010.72
  4. Step 4: Simplify right side
    3,582.24x = 9,940,999.68
  5. Step 5: Solve for x
    x = 9,940,999.68/3,582.24
  6. Step 6: Final answer
    x = 2,775.08

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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.