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Finding the Fourth Proportional to 5,907.69, 8,152.62 and 3,255.34

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Solution

The fourth proportional to 5,907.69, 8,152.62 and 3,255.34 is: 4,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.69 : 8,152.62 = 3,255.34 : x
  2. Step 2: Convert to fraction form
    5,907.69/8,152.62 = 3,255.34/x
  3. Step 3: Cross multiply
    5,907.69x = 8,152.62 × 3,255.34
  4. Step 4: Simplify right side
    5,907.69x = 26,539,549.99
  5. Step 5: Solve for x
    x = 26,539,549.99/5,907.69
  6. Step 6: Final answer
    x = 4,492.37

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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.