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Finding the Fourth Proportional to 5,537, 8,305.50 and 2,459

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Solution

The fourth proportional to 5,537, 8,305.50 and 2,459 is: 3,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537 : 8,305.50 = 2,459 : x
  2. Step 2: Convert to fraction form
    5,537/8,305.50 = 2,459/x
  3. Step 3: Cross multiply
    5,537x = 8,305.50 × 2,459
  4. Step 4: Simplify right side
    5,537x = 20,423,224.50
  5. Step 5: Solve for x
    x = 20,423,224.50/5,537
  6. Step 6: Final answer
    x = 3,688.50

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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.