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Finding the Fourth Proportional to 4,221.48, 6,333.12 and 1,300

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Solution

The fourth proportional to 4,221.48, 6,333.12 and 1,300 is: 1,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.48 : 6,333.12 = 1,300 : x
  2. Step 2: Convert to fraction form
    4,221.48/6,333.12 = 1,300/x
  3. Step 3: Cross multiply
    4,221.48x = 6,333.12 × 1,300
  4. Step 4: Simplify right side
    4,221.48x = 8,233,056
  5. Step 5: Solve for x
    x = 8,233,056/4,221.48
  6. Step 6: Final answer
    x = 1,950.28

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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.