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Finding the Fourth Proportional to 4,594, 6,896.60 and 3,035.34

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Solution

The fourth proportional to 4,594, 6,896.60 and 3,035.34 is: 4,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594 : 6,896.60 = 3,035.34 : x
  2. Step 2: Convert to fraction form
    4,594/6,896.60 = 3,035.34/x
  3. Step 3: Cross multiply
    4,594x = 6,896.60 × 3,035.34
  4. Step 4: Simplify right side
    4,594x = 20,933,525.84
  5. Step 5: Solve for x
    x = 20,933,525.84/4,594
  6. Step 6: Final answer
    x = 4,556.71

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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.