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Finding the Fourth Proportional to 3,769.32, 5,654.04 and 2,384.76

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Solution

The fourth proportional to 3,769.32, 5,654.04 and 2,384.76 is: 3,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.32 : 5,654.04 = 2,384.76 : x
  2. Step 2: Convert to fraction form
    3,769.32/5,654.04 = 2,384.76/x
  3. Step 3: Cross multiply
    3,769.32x = 5,654.04 × 2,384.76
  4. Step 4: Simplify right side
    3,769.32x = 13,483,528.43
  5. Step 5: Solve for x
    x = 13,483,528.43/3,769.32
  6. Step 6: Final answer
    x = 3,577.18

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1.5x scale

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.