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Finding the Fourth Proportional to 6,587.36, 9,089.06 and 3,934.26

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Solution

The fourth proportional to 6,587.36, 9,089.06 and 3,934.26 is: 5,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.36 : 9,089.06 = 3,934.26 : x
  2. Step 2: Convert to fraction form
    6,587.36/9,089.06 = 3,934.26/x
  3. Step 3: Cross multiply
    6,587.36x = 9,089.06 × 3,934.26
  4. Step 4: Simplify right side
    6,587.36x = 35,758,725.20
  5. Step 5: Solve for x
    x = 35,758,725.20/6,587.36
  6. Step 6: Final answer
    x = 5,428.38

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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.