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Finding the Fourth Proportional to 3,582.08, 4,939.84 and 2,256

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Solution

The fourth proportional to 3,582.08, 4,939.84 and 2,256 is: 3,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.08 : 4,939.84 = 2,256 : x
  2. Step 2: Convert to fraction form
    3,582.08/4,939.84 = 2,256/x
  3. Step 3: Cross multiply
    3,582.08x = 4,939.84 × 2,256
  4. Step 4: Simplify right side
    3,582.08x = 11,144,279.04
  5. Step 5: Solve for x
    x = 11,144,279.04/3,582.08
  6. Step 6: Final answer
    x = 3,111.12

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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.