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Finding the Fourth Proportional to 6,507.49, 8,980.38 and 3,636.22

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Solution

The fourth proportional to 6,507.49, 8,980.38 and 3,636.22 is: 5,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.49 : 8,980.38 = 3,636.22 : x
  2. Step 2: Convert to fraction form
    6,507.49/8,980.38 = 3,636.22/x
  3. Step 3: Cross multiply
    6,507.49x = 8,980.38 × 3,636.22
  4. Step 4: Simplify right side
    6,507.49x = 32,654,637.36
  5. Step 5: Solve for x
    x = 32,654,637.36/6,507.49
  6. Step 6: Final answer
    x = 5,018.01

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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.