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Finding the Fourth Proportional to 6,188.90, 9,287.90 and 3,852.29

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Solution

The fourth proportional to 6,188.90, 9,287.90 and 3,852.29 is: 5,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.90 : 9,287.90 = 3,852.29 : x
  2. Step 2: Convert to fraction form
    6,188.90/9,287.90 = 3,852.29/x
  3. Step 3: Cross multiply
    6,188.90x = 9,287.90 × 3,852.29
  4. Step 4: Simplify right side
    6,188.90x = 35,779,618.59
  5. Step 5: Solve for x
    x = 35,779,618.59/6,188.90
  6. Step 6: Final answer
    x = 5,781.26

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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.