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Finding the Fourth Proportional to 5,714.40, 8,575.95 and 2,943.42

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Solution

The fourth proportional to 5,714.40, 8,575.95 and 2,943.42 is: 4,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.40 : 8,575.95 = 2,943.42 : x
  2. Step 2: Convert to fraction form
    5,714.40/8,575.95 = 2,943.42/x
  3. Step 3: Cross multiply
    5,714.40x = 8,575.95 × 2,943.42
  4. Step 4: Simplify right side
    5,714.40x = 25,242,622.75
  5. Step 5: Solve for x
    x = 25,242,622.75/5,714.40
  6. Step 6: Final answer
    x = 4,417.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.