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Finding the Fourth Proportional to 3,333.34, 4,994.53 and 1,140.87

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Solution

The fourth proportional to 3,333.34, 4,994.53 and 1,140.87 is: 1,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.34 : 4,994.53 = 1,140.87 : x
  2. Step 2: Convert to fraction form
    3,333.34/4,994.53 = 1,140.87/x
  3. Step 3: Cross multiply
    3,333.34x = 4,994.53 × 1,140.87
  4. Step 4: Simplify right side
    3,333.34x = 5,698,109.44
  5. Step 5: Solve for x
    x = 5,698,109.44/3,333.34
  6. Step 6: Final answer
    x = 1,709.43

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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.