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Finding the Fourth Proportional to 4,221.18, 6,332.11 and 1,448.01

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Solution

The fourth proportional to 4,221.18, 6,332.11 and 1,448.01 is: 2,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.18 : 6,332.11 = 1,448.01 : x
  2. Step 2: Convert to fraction form
    4,221.18/6,332.11 = 1,448.01/x
  3. Step 3: Cross multiply
    4,221.18x = 6,332.11 × 1,448.01
  4. Step 4: Simplify right side
    4,221.18x = 9,168,954.98
  5. Step 5: Solve for x
    x = 9,168,954.98/4,221.18
  6. Step 6: Final answer
    x = 2,172.13

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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.