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Finding the Fourth Proportional to 3,337, 4,994.64 and 1,774.76

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Solution

The fourth proportional to 3,337, 4,994.64 and 1,774.76 is: 2,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337 : 4,994.64 = 1,774.76 : x
  2. Step 2: Convert to fraction form
    3,337/4,994.64 = 1,774.76/x
  3. Step 3: Cross multiply
    3,337x = 4,994.64 × 1,774.76
  4. Step 4: Simplify right side
    3,337x = 8,864,287.29
  5. Step 5: Solve for x
    x = 8,864,287.29/3,337
  6. Step 6: Final answer
    x = 2,656.36

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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.