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Finding the Fourth Proportional to 5,714.22, 8,572.23 and 2,427.35

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Solution

The fourth proportional to 5,714.22, 8,572.23 and 2,427.35 is: 3,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.22 : 8,572.23 = 2,427.35 : x
  2. Step 2: Convert to fraction form
    5,714.22/8,572.23 = 2,427.35/x
  3. Step 3: Cross multiply
    5,714.22x = 8,572.23 × 2,427.35
  4. Step 4: Simplify right side
    5,714.22x = 20,807,759.63
  5. Step 5: Solve for x
    x = 20,807,759.63/5,714.22
  6. Step 6: Final answer
    x = 3,641.40

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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.