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Finding the Fourth Proportional to 4,706.08, 7,057.96 and 1,585.26

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Solution

The fourth proportional to 4,706.08, 7,057.96 and 1,585.26 is: 2,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.08 : 7,057.96 = 1,585.26 : x
  2. Step 2: Convert to fraction form
    4,706.08/7,057.96 = 1,585.26/x
  3. Step 3: Cross multiply
    4,706.08x = 7,057.96 × 1,585.26
  4. Step 4: Simplify right side
    4,706.08x = 11,188,697.71
  5. Step 5: Solve for x
    x = 11,188,697.71/4,706.08
  6. Step 6: Final answer
    x = 2,377.50

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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.