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Finding the Fourth Proportional to 5,714, 8,572.28 and 2,066

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Solution

The fourth proportional to 5,714, 8,572.28 and 2,066 is: 3,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714 : 8,572.28 = 2,066 : x
  2. Step 2: Convert to fraction form
    5,714/8,572.28 = 2,066/x
  3. Step 3: Cross multiply
    5,714x = 8,572.28 × 2,066
  4. Step 4: Simplify right side
    5,714x = 17,710,330.48
  5. Step 5: Solve for x
    x = 17,710,330.48/5,714
  6. Step 6: Final answer
    x = 3,099.46

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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.