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Finding the Fourth Proportional to 3,537, 5,305.50 and 1,485

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Solution

The fourth proportional to 3,537, 5,305.50 and 1,485 is: 2,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 5,305.50 = 1,485 : x
  2. Step 2: Convert to fraction form
    3,537/5,305.50 = 1,485/x
  3. Step 3: Cross multiply
    3,537x = 5,305.50 × 1,485
  4. Step 4: Simplify right side
    3,537x = 7,878,667.50
  5. Step 5: Solve for x
    x = 7,878,667.50/3,537
  6. Step 6: Final answer
    x = 2,227.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.