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Finding the Fourth Proportional to 5,714.41, 8,572.32 and 2,203.60

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Solution

The fourth proportional to 5,714.41, 8,572.32 and 2,203.60 is: 3,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.41 : 8,572.32 = 2,203.60 : x
  2. Step 2: Convert to fraction form
    5,714.41/8,572.32 = 2,203.60/x
  3. Step 3: Cross multiply
    5,714.41x = 8,572.32 × 2,203.60
  4. Step 4: Simplify right side
    5,714.41x = 18,889,964.35
  5. Step 5: Solve for x
    x = 18,889,964.35/5,714.41
  6. Step 6: Final answer
    x = 3,305.67

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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.