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Finding the Fourth Proportional to 6,237, 8,607.06 and 3,753

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Solution

The fourth proportional to 6,237, 8,607.06 and 3,753 is: 5,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237 : 8,607.06 = 3,753 : x
  2. Step 2: Convert to fraction form
    6,237/8,607.06 = 3,753/x
  3. Step 3: Cross multiply
    6,237x = 8,607.06 × 3,753
  4. Step 4: Simplify right side
    6,237x = 32,302,296.18
  5. Step 5: Solve for x
    x = 32,302,296.18/6,237
  6. Step 6: Final answer
    x = 5,179.14

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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.