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Finding the Fourth Proportional to 4,282, 5,907.52 and 2,512.96

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Solution

The fourth proportional to 4,282, 5,907.52 and 2,512.96 is: 3,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282 : 5,907.52 = 2,512.96 : x
  2. Step 2: Convert to fraction form
    4,282/5,907.52 = 2,512.96/x
  3. Step 3: Cross multiply
    4,282x = 5,907.52 × 2,512.96
  4. Step 4: Simplify right side
    4,282x = 14,845,361.46
  5. Step 5: Solve for x
    x = 14,845,361.46/4,282
  6. Step 6: Final answer
    x = 3,466.92

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1.5x scale

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.