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Finding the Fourth Proportional to 3,346.35, 5,017.96 and 1,497.48

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Solution

The fourth proportional to 3,346.35, 5,017.96 and 1,497.48 is: 2,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.35 : 5,017.96 = 1,497.48 : x
  2. Step 2: Convert to fraction form
    3,346.35/5,017.96 = 1,497.48/x
  3. Step 3: Cross multiply
    3,346.35x = 5,017.96 × 1,497.48
  4. Step 4: Simplify right side
    3,346.35x = 7,514,277.80
  5. Step 5: Solve for x
    x = 7,514,277.80/3,346.35
  6. Step 6: Final answer
    x = 2,245.52

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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.