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Finding the Fourth Proportional to 4,706.26, 7,059.94 and 1,585.20

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Solution

The fourth proportional to 4,706.26, 7,059.94 and 1,585.20 is: 2,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.26 : 7,059.94 = 1,585.20 : x
  2. Step 2: Convert to fraction form
    4,706.26/7,059.94 = 1,585.20/x
  3. Step 3: Cross multiply
    4,706.26x = 7,059.94 × 1,585.20
  4. Step 4: Simplify right side
    4,706.26x = 11,191,373.66
  5. Step 5: Solve for x
    x = 11,191,373.66/4,706.26
  6. Step 6: Final answer
    x = 2,377.98

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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.