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Finding the Fourth Proportional to 4,797, 7,194.96 and 1,509.48

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Solution

The fourth proportional to 4,797, 7,194.96 and 1,509.48 is: 2,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797 : 7,194.96 = 1,509.48 : x
  2. Step 2: Convert to fraction form
    4,797/7,194.96 = 1,509.48/x
  3. Step 3: Cross multiply
    4,797x = 7,194.96 × 1,509.48
  4. Step 4: Simplify right side
    4,797x = 10,860,648.22
  5. Step 5: Solve for x
    x = 10,860,648.22/4,797
  6. Step 6: Final answer
    x = 2,264.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.