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Finding the Fourth Proportional to 3,355.66, 5,032.80 and 1,274.93

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Solution

The fourth proportional to 3,355.66, 5,032.80 and 1,274.93 is: 1,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.66 : 5,032.80 = 1,274.93 : x
  2. Step 2: Convert to fraction form
    3,355.66/5,032.80 = 1,274.93/x
  3. Step 3: Cross multiply
    3,355.66x = 5,032.80 × 1,274.93
  4. Step 4: Simplify right side
    3,355.66x = 6,416,480.29
  5. Step 5: Solve for x
    x = 6,416,480.29/3,355.66
  6. Step 6: Final answer
    x = 1,912.14

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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.