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Finding the Fourth Proportional to 4,767.46, 7,152.99 and 1,996

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Solution

The fourth proportional to 4,767.46, 7,152.99 and 1,996 is: 2,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.46 : 7,152.99 = 1,996 : x
  2. Step 2: Convert to fraction form
    4,767.46/7,152.99 = 1,996/x
  3. Step 3: Cross multiply
    4,767.46x = 7,152.99 × 1,996
  4. Step 4: Simplify right side
    4,767.46x = 14,277,368.04
  5. Step 5: Solve for x
    x = 14,277,368.04/4,767.46
  6. Step 6: Final answer
    x = 2,994.75

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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.