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Finding the Fourth Proportional to 3,808.51, 5,706.43 and 3,664.53

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Solution

The fourth proportional to 3,808.51, 5,706.43 and 3,664.53 is: 5,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.51 : 5,706.43 = 3,664.53 : x
  2. Step 2: Convert to fraction form
    3,808.51/5,706.43 = 3,664.53/x
  3. Step 3: Cross multiply
    3,808.51x = 5,706.43 × 3,664.53
  4. Step 4: Simplify right side
    3,808.51x = 20,911,383.93
  5. Step 5: Solve for x
    x = 20,911,383.93/3,808.51
  6. Step 6: Final answer
    x = 5,490.70

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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.