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Finding the Fourth Proportional to 4,225, 5,830.50 and 2,362

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Solution

The fourth proportional to 4,225, 5,830.50 and 2,362 is: 3,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225 : 5,830.50 = 2,362 : x
  2. Step 2: Convert to fraction form
    4,225/5,830.50 = 2,362/x
  3. Step 3: Cross multiply
    4,225x = 5,830.50 × 2,362
  4. Step 4: Simplify right side
    4,225x = 13,771,641
  5. Step 5: Solve for x
    x = 13,771,641/4,225
  6. Step 6: Final answer
    x = 3,259.56

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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.