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Finding the Fourth Proportional to 3,915.54, 5,409.26 and 2,574.32

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Solution

The fourth proportional to 3,915.54, 5,409.26 and 2,574.32 is: 3,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.54 : 5,409.26 = 2,574.32 : x
  2. Step 2: Convert to fraction form
    3,915.54/5,409.26 = 2,574.32/x
  3. Step 3: Cross multiply
    3,915.54x = 5,409.26 × 2,574.32
  4. Step 4: Simplify right side
    3,915.54x = 13,925,166.20
  5. Step 5: Solve for x
    x = 13,925,166.20/3,915.54
  6. Step 6: Final answer
    x = 3,556.38

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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.