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Finding the Fourth Proportional to 4,765.04, 7,148.77 and 1,433.27

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Solution

The fourth proportional to 4,765.04, 7,148.77 and 1,433.27 is: 2,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.04 : 7,148.77 = 1,433.27 : x
  2. Step 2: Convert to fraction form
    4,765.04/7,148.77 = 1,433.27/x
  3. Step 3: Cross multiply
    4,765.04x = 7,148.77 × 1,433.27
  4. Step 4: Simplify right side
    4,765.04x = 10,246,117.58
  5. Step 5: Solve for x
    x = 10,246,117.58/4,765.04
  6. Step 6: Final answer
    x = 2,150.27

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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.