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Finding the Fourth Proportional to 5,895.44, 8,132.64 and 3,656.60

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Solution

The fourth proportional to 5,895.44, 8,132.64 and 3,656.60 is: 5,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.44 : 8,132.64 = 3,656.60 : x
  2. Step 2: Convert to fraction form
    5,895.44/8,132.64 = 3,656.60/x
  3. Step 3: Cross multiply
    5,895.44x = 8,132.64 × 3,656.60
  4. Step 4: Simplify right side
    5,895.44x = 29,737,811.42
  5. Step 5: Solve for x
    x = 29,737,811.42/5,895.44
  6. Step 6: Final answer
    x = 5,044.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.