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Finding the Fourth Proportional to 5,907.86, 8,152.65 and 3,255.31

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Solution

The fourth proportional to 5,907.86, 8,152.65 and 3,255.31 is: 4,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.86 : 8,152.65 = 3,255.31 : x
  2. Step 2: Convert to fraction form
    5,907.86/8,152.65 = 3,255.31/x
  3. Step 3: Cross multiply
    5,907.86x = 8,152.65 × 3,255.31
  4. Step 4: Simplify right side
    5,907.86x = 26,539,403.07
  5. Step 5: Solve for x
    x = 26,539,403.07/5,907.86
  6. Step 6: Final answer
    x = 4,492.22

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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.