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Finding the Fourth Proportional to 4,706.51, 7,057.46 and 1,934.55

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Solution

The fourth proportional to 4,706.51, 7,057.46 and 1,934.55 is: 2,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.51 : 7,057.46 = 1,934.55 : x
  2. Step 2: Convert to fraction form
    4,706.51/7,057.46 = 1,934.55/x
  3. Step 3: Cross multiply
    4,706.51x = 7,057.46 × 1,934.55
  4. Step 4: Simplify right side
    4,706.51x = 13,653,014.08
  5. Step 5: Solve for x
    x = 13,653,014.08/4,706.51
  6. Step 6: Final answer
    x = 2,900.88

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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.