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Finding the Fourth Proportional to 4,221.53, 6,333.52 and 1,300.27

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Solution

The fourth proportional to 4,221.53, 6,333.52 and 1,300.27 is: 1,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.53 : 6,333.52 = 1,300.27 : x
  2. Step 2: Convert to fraction form
    4,221.53/6,333.52 = 1,300.27/x
  3. Step 3: Cross multiply
    4,221.53x = 6,333.52 × 1,300.27
  4. Step 4: Simplify right side
    4,221.53x = 8,235,271.84
  5. Step 5: Solve for x
    x = 8,235,271.84/4,221.53
  6. Step 6: Final answer
    x = 1,950.78

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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.