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Finding the Fourth Proportional to 5,907.90, 8,151.43 and 3,809.50

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Solution

The fourth proportional to 5,907.90, 8,151.43 and 3,809.50 is: 5,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.90 : 8,151.43 = 3,809.50 : x
  2. Step 2: Convert to fraction form
    5,907.90/8,151.43 = 3,809.50/x
  3. Step 3: Cross multiply
    5,907.90x = 8,151.43 × 3,809.50
  4. Step 4: Simplify right side
    5,907.90x = 31,052,872.59
  5. Step 5: Solve for x
    x = 31,052,872.59/5,907.90
  6. Step 6: Final answer
    x = 5,256.16

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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.