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Finding the Fourth Proportional to 5,195.85, 7,795.01 and 1,498.02

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Solution

The fourth proportional to 5,195.85, 7,795.01 and 1,498.02 is: 2,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.85 : 7,795.01 = 1,498.02 : x
  2. Step 2: Convert to fraction form
    5,195.85/7,795.01 = 1,498.02/x
  3. Step 3: Cross multiply
    5,195.85x = 7,795.01 × 1,498.02
  4. Step 4: Simplify right side
    5,195.85x = 11,677,080.88
  5. Step 5: Solve for x
    x = 11,677,080.88/5,195.85
  6. Step 6: Final answer
    x = 2,247.39

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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.