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Finding the Fourth Proportional to 6,590, 9,094.24 and 3,796.40

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Solution

The fourth proportional to 6,590, 9,094.24 and 3,796.40 is: 5,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590 : 9,094.24 = 3,796.40 : x
  2. Step 2: Convert to fraction form
    6,590/9,094.24 = 3,796.40/x
  3. Step 3: Cross multiply
    6,590x = 9,094.24 × 3,796.40
  4. Step 4: Simplify right side
    6,590x = 34,525,372.74
  5. Step 5: Solve for x
    x = 34,525,372.74/6,590
  6. Step 6: Final answer
    x = 5,239.06

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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.