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Finding the Fourth Proportional to 5,714.57, 7,887.13 and 3,356.84

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Solution

The fourth proportional to 5,714.57, 7,887.13 and 3,356.84 is: 4,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.57 : 7,887.13 = 3,356.84 : x
  2. Step 2: Convert to fraction form
    5,714.57/7,887.13 = 3,356.84/x
  3. Step 3: Cross multiply
    5,714.57x = 7,887.13 × 3,356.84
  4. Step 4: Simplify right side
    5,714.57x = 26,475,785.64
  5. Step 5: Solve for x
    x = 26,475,785.64/5,714.57
  6. Step 6: Final answer
    x = 4,633.04

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1.5x scale

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.