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Finding the Fourth Proportional to 5,714.96, 8,575.13 and 2,018.93

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Solution

The fourth proportional to 5,714.96, 8,575.13 and 2,018.93 is: 3,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.96 : 8,575.13 = 2,018.93 : x
  2. Step 2: Convert to fraction form
    5,714.96/8,575.13 = 2,018.93/x
  3. Step 3: Cross multiply
    5,714.96x = 8,575.13 × 2,018.93
  4. Step 4: Simplify right side
    5,714.96x = 17,312,573.50
  5. Step 5: Solve for x
    x = 17,312,573.50/5,714.96
  6. Step 6: Final answer
    x = 3,029.34

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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.