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Finding the Fourth Proportional to 4,800.48, 7,205.20 and 2,462.24

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Solution

The fourth proportional to 4,800.48, 7,205.20 and 2,462.24 is: 3,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.48 : 7,205.20 = 2,462.24 : x
  2. Step 2: Convert to fraction form
    4,800.48/7,205.20 = 2,462.24/x
  3. Step 3: Cross multiply
    4,800.48x = 7,205.20 × 2,462.24
  4. Step 4: Simplify right side
    4,800.48x = 17,740,931.65
  5. Step 5: Solve for x
    x = 17,740,931.65/4,800.48
  6. Step 6: Final answer
    x = 3,695.66

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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.