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Finding the Fourth Proportional to 3,808.43, 5,702.61 and 3,064.07

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Solution

The fourth proportional to 3,808.43, 5,702.61 and 3,064.07 is: 4,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.43 : 5,702.61 = 3,064.07 : x
  2. Step 2: Convert to fraction form
    3,808.43/5,702.61 = 3,064.07/x
  3. Step 3: Cross multiply
    3,808.43x = 5,702.61 × 3,064.07
  4. Step 4: Simplify right side
    3,808.43x = 17,473,210.48
  5. Step 5: Solve for x
    x = 17,473,210.48/3,808.43
  6. Step 6: Final answer
    x = 4,588.04

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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.