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Finding the Fourth Proportional to 4,773.26, 7,153.06 and 2,101.64

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Solution

The fourth proportional to 4,773.26, 7,153.06 and 2,101.64 is: 3,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.26 : 7,153.06 = 2,101.64 : x
  2. Step 2: Convert to fraction form
    4,773.26/7,153.06 = 2,101.64/x
  3. Step 3: Cross multiply
    4,773.26x = 7,153.06 × 2,101.64
  4. Step 4: Simplify right side
    4,773.26x = 15,033,157.02
  5. Step 5: Solve for x
    x = 15,033,157.02/4,773.26
  6. Step 6: Final answer
    x = 3,149.45

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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.