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Finding the Fourth Proportional to 4,706.82, 7,059.10 and 1,586.02

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Solution

The fourth proportional to 4,706.82, 7,059.10 and 1,586.02 is: 2,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.82 : 7,059.10 = 1,586.02 : x
  2. Step 2: Convert to fraction form
    4,706.82/7,059.10 = 1,586.02/x
  3. Step 3: Cross multiply
    4,706.82x = 7,059.10 × 1,586.02
  4. Step 4: Simplify right side
    4,706.82x = 11,195,873.78
  5. Step 5: Solve for x
    x = 11,195,873.78/4,706.82
  6. Step 6: Final answer
    x = 2,378.65

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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.