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Finding the Fourth Proportional to 3,314.77, 4,972.83 and 1,124.14

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Solution

The fourth proportional to 3,314.77, 4,972.83 and 1,124.14 is: 1,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.77 : 4,972.83 = 1,124.14 : x
  2. Step 2: Convert to fraction form
    3,314.77/4,972.83 = 1,124.14/x
  3. Step 3: Cross multiply
    3,314.77x = 4,972.83 × 1,124.14
  4. Step 4: Simplify right side
    3,314.77x = 5,590,157.12
  5. Step 5: Solve for x
    x = 5,590,157.12/3,314.77
  6. Step 6: Final answer
    x = 1,686.44

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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.