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Finding the Fourth Proportional to 5,694.48, 7,858.44 and 3,210

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Solution

The fourth proportional to 5,694.48, 7,858.44 and 3,210 is: 4,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.48 : 7,858.44 = 3,210 : x
  2. Step 2: Convert to fraction form
    5,694.48/7,858.44 = 3,210/x
  3. Step 3: Cross multiply
    5,694.48x = 7,858.44 × 3,210
  4. Step 4: Simplify right side
    5,694.48x = 25,225,592.40
  5. Step 5: Solve for x
    x = 25,225,592.40/5,694.48
  6. Step 6: Final answer
    x = 4,429.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.