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Finding the Fourth Proportional to 4,608.24, 6,907.50 and 2,265

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Solution

The fourth proportional to 4,608.24, 6,907.50 and 2,265 is: 3,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.24 : 6,907.50 = 2,265 : x
  2. Step 2: Convert to fraction form
    4,608.24/6,907.50 = 2,265/x
  3. Step 3: Cross multiply
    4,608.24x = 6,907.50 × 2,265
  4. Step 4: Simplify right side
    4,608.24x = 15,645,487.50
  5. Step 5: Solve for x
    x = 15,645,487.50/4,608.24
  6. Step 6: Final answer
    x = 3,395.11

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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.