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Finding the Fourth Proportional to 3,442.76, 5,157.86 and 2,210.34

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Solution

The fourth proportional to 3,442.76, 5,157.86 and 2,210.34 is: 3,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.76 : 5,157.86 = 2,210.34 : x
  2. Step 2: Convert to fraction form
    3,442.76/5,157.86 = 2,210.34/x
  3. Step 3: Cross multiply
    3,442.76x = 5,157.86 × 2,210.34
  4. Step 4: Simplify right side
    3,442.76x = 11,400,613.22
  5. Step 5: Solve for x
    x = 11,400,613.22/3,442.76
  6. Step 6: Final answer
    x = 3,311.48

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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.