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Finding the Fourth Proportional to 4,706.08, 7,059.47 and 1,586.07

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Solution

The fourth proportional to 4,706.08, 7,059.47 and 1,586.07 is: 2,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.08 : 7,059.47 = 1,586.07 : x
  2. Step 2: Convert to fraction form
    4,706.08/7,059.47 = 1,586.07/x
  3. Step 3: Cross multiply
    4,706.08x = 7,059.47 × 1,586.07
  4. Step 4: Simplify right side
    4,706.08x = 11,196,813.58
  5. Step 5: Solve for x
    x = 11,196,813.58/4,706.08
  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.