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Finding the Fourth Proportional to 4,765.16, 7,148.56 and 1,644.32

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Solution

The fourth proportional to 4,765.16, 7,148.56 and 1,644.32 is: 2,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.16 : 7,148.56 = 1,644.32 : x
  2. Step 2: Convert to fraction form
    4,765.16/7,148.56 = 1,644.32/x
  3. Step 3: Cross multiply
    4,765.16x = 7,148.56 × 1,644.32
  4. Step 4: Simplify right side
    4,765.16x = 11,754,520.18
  5. Step 5: Solve for x
    x = 11,754,520.18/4,765.16
  6. Step 6: Final answer
    x = 2,466.76

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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.