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Finding the Fourth Proportional to 4,537, 6,805.50 and 1,459

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Solution

The fourth proportional to 4,537, 6,805.50 and 1,459 is: 2,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537 : 6,805.50 = 1,459 : x
  2. Step 2: Convert to fraction form
    4,537/6,805.50 = 1,459/x
  3. Step 3: Cross multiply
    4,537x = 6,805.50 × 1,459
  4. Step 4: Simplify right side
    4,537x = 9,929,224.50
  5. Step 5: Solve for x
    x = 9,929,224.50/4,537
  6. Step 6: Final answer
    x = 2,188.50

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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.