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Finding the Fourth Proportional to 5,133.60, 7,702.32 and 1,846.56

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Solution

The fourth proportional to 5,133.60, 7,702.32 and 1,846.56 is: 2,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.60 : 7,702.32 = 1,846.56 : x
  2. Step 2: Convert to fraction form
    5,133.60/7,702.32 = 1,846.56/x
  3. Step 3: Cross multiply
    5,133.60x = 7,702.32 × 1,846.56
  4. Step 4: Simplify right side
    5,133.60x = 14,222,796.02
  5. Step 5: Solve for x
    x = 14,222,796.02/5,133.60
  6. Step 6: Final answer
    x = 2,770.53

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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.