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Finding the Fourth Proportional to 3,477.40, 4,800.12 and 2,300.08

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Solution

The fourth proportional to 3,477.40, 4,800.12 and 2,300.08 is: 3,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.40 : 4,800.12 = 2,300.08 : x
  2. Step 2: Convert to fraction form
    3,477.40/4,800.12 = 2,300.08/x
  3. Step 3: Cross multiply
    3,477.40x = 4,800.12 × 2,300.08
  4. Step 4: Simplify right side
    3,477.40x = 11,040,660.01
  5. Step 5: Solve for x
    x = 11,040,660.01/3,477.40
  6. Step 6: Final answer
    x = 3,174.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.