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Finding the Fourth Proportional to 4,771.31, 7,155.39 and 1,650.53

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Solution

The fourth proportional to 4,771.31, 7,155.39 and 1,650.53 is: 2,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.31 : 7,155.39 = 1,650.53 : x
  2. Step 2: Convert to fraction form
    4,771.31/7,155.39 = 1,650.53/x
  3. Step 3: Cross multiply
    4,771.31x = 7,155.39 × 1,650.53
  4. Step 4: Simplify right side
    4,771.31x = 11,810,160.40
  5. Step 5: Solve for x
    x = 11,810,160.40/4,771.31
  6. Step 6: Final answer
    x = 2,475.25

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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.