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Finding the Fourth Proportional to 4,684.91, 7,027.36 and 1,564.34

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Solution

The fourth proportional to 4,684.91, 7,027.36 and 1,564.34 is: 2,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.91 : 7,027.36 = 1,564.34 : x
  2. Step 2: Convert to fraction form
    4,684.91/7,027.36 = 1,564.34/x
  3. Step 3: Cross multiply
    4,684.91x = 7,027.36 × 1,564.34
  4. Step 4: Simplify right side
    4,684.91x = 10,993,141.29
  5. Step 5: Solve for x
    x = 10,993,141.29/4,684.91
  6. Step 6: Final answer
    x = 2,346.50

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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.