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Finding the Fourth Proportional to 4,769.74, 7,156.16 and 2,304.84

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Solution

The fourth proportional to 4,769.74, 7,156.16 and 2,304.84 is: 3,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.74 : 7,156.16 = 2,304.84 : x
  2. Step 2: Convert to fraction form
    4,769.74/7,156.16 = 2,304.84/x
  3. Step 3: Cross multiply
    4,769.74x = 7,156.16 × 2,304.84
  4. Step 4: Simplify right side
    4,769.74x = 16,493,803.81
  5. Step 5: Solve for x
    x = 16,493,803.81/4,769.74
  6. Step 6: Final answer
    x = 3,458.01

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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.