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Finding the Fourth Proportional to 5,714.64, 8,574.63 and 2,019.66

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Solution

The fourth proportional to 5,714.64, 8,574.63 and 2,019.66 is: 3,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.64 : 8,574.63 = 2,019.66 : x
  2. Step 2: Convert to fraction form
    5,714.64/8,574.63 = 2,019.66/x
  3. Step 3: Cross multiply
    5,714.64x = 8,574.63 × 2,019.66
  4. Step 4: Simplify right side
    5,714.64x = 17,317,837.23
  5. Step 5: Solve for x
    x = 17,317,837.23/5,714.64
  6. Step 6: Final answer
    x = 3,030.43

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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.