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Finding the Fourth Proportional to 4,220.99, 6,332.00 and 1,448.16

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Solution

The fourth proportional to 4,220.99, 6,332.00 and 1,448.16 is: 2,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.99 : 6,332.00 = 1,448.16 : x
  2. Step 2: Convert to fraction form
    4,220.99/6,332.00 = 1,448.16/x
  3. Step 3: Cross multiply
    4,220.99x = 6,332.00 × 1,448.16
  4. Step 4: Simplify right side
    4,220.99x = 9,169,741.88
  5. Step 5: Solve for x
    x = 9,169,741.88/4,220.99
  6. Step 6: Final answer
    x = 2,172.41

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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.