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Finding the Fourth Proportional to 5,697, 7,862.02 and 3,458.60

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Solution

The fourth proportional to 5,697, 7,862.02 and 3,458.60 is: 4,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 7,862.02 = 3,458.60 : x
  2. Step 2: Convert to fraction form
    5,697/7,862.02 = 3,458.60/x
  3. Step 3: Cross multiply
    5,697x = 7,862.02 × 3,458.60
  4. Step 4: Simplify right side
    5,697x = 27,191,582.37
  5. Step 5: Solve for x
    x = 27,191,582.37/5,697
  6. Step 6: Final answer
    x = 4,772.97

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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.