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Finding the Fourth Proportional to 3,714.06, 5,566.22 and 1,520.22

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Solution

The fourth proportional to 3,714.06, 5,566.22 and 1,520.22 is: 2,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.06 : 5,566.22 = 1,520.22 : x
  2. Step 2: Convert to fraction form
    3,714.06/5,566.22 = 1,520.22/x
  3. Step 3: Cross multiply
    3,714.06x = 5,566.22 × 1,520.22
  4. Step 4: Simplify right side
    3,714.06x = 8,461,878.97
  5. Step 5: Solve for x
    x = 8,461,878.97/3,714.06
  6. Step 6: Final answer
    x = 2,278.34

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1.5x scale

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.