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Finding the Fourth Proportional to 4,768.37, 7,154.10 and 2,303.46

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Solution

The fourth proportional to 4,768.37, 7,154.10 and 2,303.46 is: 3,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.37 : 7,154.10 = 2,303.46 : x
  2. Step 2: Convert to fraction form
    4,768.37/7,154.10 = 2,303.46/x
  3. Step 3: Cross multiply
    4,768.37x = 7,154.10 × 2,303.46
  4. Step 4: Simplify right side
    4,768.37x = 16,479,183.19
  5. Step 5: Solve for x
    x = 16,479,183.19/4,768.37
  6. Step 6: Final answer
    x = 3,455.94

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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.