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Finding the Fourth Proportional to 4,573.46, 6,856.88 and 3,089

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Solution

The fourth proportional to 4,573.46, 6,856.88 and 3,089 is: 4,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.46 : 6,856.88 = 3,089 : x
  2. Step 2: Convert to fraction form
    4,573.46/6,856.88 = 3,089/x
  3. Step 3: Cross multiply
    4,573.46x = 6,856.88 × 3,089
  4. Step 4: Simplify right side
    4,573.46x = 21,180,902.32
  5. Step 5: Solve for x
    x = 21,180,902.32/4,573.46
  6. Step 6: Final answer
    x = 4,631.26

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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.