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Finding the Fourth Proportional to 6,587.36, 9,090.34 and 3,603.17

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Solution

The fourth proportional to 6,587.36, 9,090.34 and 3,603.17 is: 4,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.36 : 9,090.34 = 3,603.17 : x
  2. Step 2: Convert to fraction form
    6,587.36/9,090.34 = 3,603.17/x
  3. Step 3: Cross multiply
    6,587.36x = 9,090.34 × 3,603.17
  4. Step 4: Simplify right side
    6,587.36x = 32,754,040.38
  5. Step 5: Solve for x
    x = 32,754,040.38/6,587.36
  6. Step 6: Final answer
    x = 4,972.26

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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.