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Finding the Fourth Proportional to 3,902.94, 5,386.16 and 2,134.51

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Solution

The fourth proportional to 3,902.94, 5,386.16 and 2,134.51 is: 2,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.94 : 5,386.16 = 2,134.51 : x
  2. Step 2: Convert to fraction form
    3,902.94/5,386.16 = 2,134.51/x
  3. Step 3: Cross multiply
    3,902.94x = 5,386.16 × 2,134.51
  4. Step 4: Simplify right side
    3,902.94x = 11,496,812.38
  5. Step 5: Solve for x
    x = 11,496,812.38/3,902.94
  6. Step 6: Final answer
    x = 2,945.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.