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Finding the Fourth Proportional to 5,181.60, 7,777.46 and 3,702.48

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Solution

The fourth proportional to 5,181.60, 7,777.46 and 3,702.48 is: 5,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.60 : 7,777.46 = 3,702.48 : x
  2. Step 2: Convert to fraction form
    5,181.60/7,777.46 = 3,702.48/x
  3. Step 3: Cross multiply
    5,181.60x = 7,777.46 × 3,702.48
  4. Step 4: Simplify right side
    5,181.60x = 28,795,890.10
  5. Step 5: Solve for x
    x = 28,795,890.10/5,181.60
  6. Step 6: Final answer
    x = 5,557.34

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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.