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Finding the Fourth Proportional to 4,267.48, 6,401.22 and 1,147.60

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Solution

The fourth proportional to 4,267.48, 6,401.22 and 1,147.60 is: 1,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.48 : 6,401.22 = 1,147.60 : x
  2. Step 2: Convert to fraction form
    4,267.48/6,401.22 = 1,147.60/x
  3. Step 3: Cross multiply
    4,267.48x = 6,401.22 × 1,147.60
  4. Step 4: Simplify right side
    4,267.48x = 7,346,040.07
  5. Step 5: Solve for x
    x = 7,346,040.07/4,267.48
  6. Step 6: Final answer
    x = 1,721.40

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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.