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Finding the Fourth Proportional to 5,652.36, 8,464.62 and 3,702.60

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Solution

The fourth proportional to 5,652.36, 8,464.62 and 3,702.60 is: 5,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.36 : 8,464.62 = 3,702.60 : x
  2. Step 2: Convert to fraction form
    5,652.36/8,464.62 = 3,702.60/x
  3. Step 3: Cross multiply
    5,652.36x = 8,464.62 × 3,702.60
  4. Step 4: Simplify right side
    5,652.36x = 31,341,102.01
  5. Step 5: Solve for x
    x = 31,341,102.01/5,652.36
  6. Step 6: Final answer
    x = 5,544.78

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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.