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Finding the Fourth Proportional to 4,742.36, 7,113.84 and 1,455.68

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Solution

The fourth proportional to 4,742.36, 7,113.84 and 1,455.68 is: 2,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.36 : 7,113.84 = 1,455.68 : x
  2. Step 2: Convert to fraction form
    4,742.36/7,113.84 = 1,455.68/x
  3. Step 3: Cross multiply
    4,742.36x = 7,113.84 × 1,455.68
  4. Step 4: Simplify right side
    4,742.36x = 10,355,474.61
  5. Step 5: Solve for x
    x = 10,355,474.61/4,742.36
  6. Step 6: Final answer
    x = 2,183.61

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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.