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Finding the Fourth Proportional to 3,907.17, 5,859.54 and 1,309.50

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Solution

The fourth proportional to 3,907.17, 5,859.54 and 1,309.50 is: 1,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.17 : 5,859.54 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    3,907.17/5,859.54 = 1,309.50/x
  3. Step 3: Cross multiply
    3,907.17x = 5,859.54 × 1,309.50
  4. Step 4: Simplify right side
    3,907.17x = 7,673,067.63
  5. Step 5: Solve for x
    x = 7,673,067.63/3,907.17
  6. Step 6: Final answer
    x = 1,963.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.