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Finding the Fourth Proportional to 4,706.30, 7,059.06 and 1,586.23

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Solution

The fourth proportional to 4,706.30, 7,059.06 and 1,586.23 is: 2,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.30 : 7,059.06 = 1,586.23 : x
  2. Step 2: Convert to fraction form
    4,706.30/7,059.06 = 1,586.23/x
  3. Step 3: Cross multiply
    4,706.30x = 7,059.06 × 1,586.23
  4. Step 4: Simplify right side
    4,706.30x = 11,197,306.43
  5. Step 5: Solve for x
    x = 11,197,306.43/4,706.30
  6. Step 6: Final answer
    x = 2,379.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.