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Finding the Fourth Proportional to 5,556.54, 7,669.74 and 3,200.28

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Solution

The fourth proportional to 5,556.54, 7,669.74 and 3,200.28 is: 4,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.54 : 7,669.74 = 3,200.28 : x
  2. Step 2: Convert to fraction form
    5,556.54/7,669.74 = 3,200.28/x
  3. Step 3: Cross multiply
    5,556.54x = 7,669.74 × 3,200.28
  4. Step 4: Simplify right side
    5,556.54x = 24,545,315.53
  5. Step 5: Solve for x
    x = 24,545,315.53/5,556.54
  6. Step 6: Final answer
    x = 4,417.37

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1.5x scale

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.