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Finding the Fourth Proportional to 3,714.70, 5,572.22 and 2,070

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Solution

The fourth proportional to 3,714.70, 5,572.22 and 2,070 is: 3,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.70 : 5,572.22 = 2,070 : x
  2. Step 2: Convert to fraction form
    3,714.70/5,572.22 = 2,070/x
  3. Step 3: Cross multiply
    3,714.70x = 5,572.22 × 2,070
  4. Step 4: Simplify right side
    3,714.70x = 11,534,495.40
  5. Step 5: Solve for x
    x = 11,534,495.40/3,714.70
  6. Step 6: Final answer
    x = 3,105.09

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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.