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Finding the Fourth Proportional to 5,630.98, 8,442.18 and 3,409.34

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Solution

The fourth proportional to 5,630.98, 8,442.18 and 3,409.34 is: 5,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.98 : 8,442.18 = 3,409.34 : x
  2. Step 2: Convert to fraction form
    5,630.98/8,442.18 = 3,409.34/x
  3. Step 3: Cross multiply
    5,630.98x = 8,442.18 × 3,409.34
  4. Step 4: Simplify right side
    5,630.98x = 28,782,261.96
  5. Step 5: Solve for x
    x = 28,782,261.96/5,630.98
  6. Step 6: Final answer
    x = 5,111.41

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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.