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Finding the Fourth Proportional to 5,702.32, 8,551.31 and 2,739.94

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Solution

The fourth proportional to 5,702.32, 8,551.31 and 2,739.94 is: 4,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.32 : 8,551.31 = 2,739.94 : x
  2. Step 2: Convert to fraction form
    5,702.32/8,551.31 = 2,739.94/x
  3. Step 3: Cross multiply
    5,702.32x = 8,551.31 × 2,739.94
  4. Step 4: Simplify right side
    5,702.32x = 23,430,041.24
  5. Step 5: Solve for x
    x = 23,430,041.24/5,702.32
  6. Step 6: Final answer
    x = 4,108.86

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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.