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Finding the Fourth Proportional to 4,228.30, 6,337.05 and 2,032.30

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Solution

The fourth proportional to 4,228.30, 6,337.05 and 2,032.30 is: 3,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.30 : 6,337.05 = 2,032.30 : x
  2. Step 2: Convert to fraction form
    4,228.30/6,337.05 = 2,032.30/x
  3. Step 3: Cross multiply
    4,228.30x = 6,337.05 × 2,032.30
  4. Step 4: Simplify right side
    4,228.30x = 12,878,786.72
  5. Step 5: Solve for x
    x = 12,878,786.72/4,228.30
  6. Step 6: Final answer
    x = 3,045.85

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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.