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Finding the Fourth Proportional to 4,798.50, 7,197.76 and 1,335.76

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Solution

The fourth proportional to 4,798.50, 7,197.76 and 1,335.76 is: 2,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.50 : 7,197.76 = 1,335.76 : x
  2. Step 2: Convert to fraction form
    4,798.50/7,197.76 = 1,335.76/x
  3. Step 3: Cross multiply
    4,798.50x = 7,197.76 × 1,335.76
  4. Step 4: Simplify right side
    4,798.50x = 9,614,479.90
  5. Step 5: Solve for x
    x = 9,614,479.90/4,798.50
  6. Step 6: Final answer
    x = 2,003.64

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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.