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Finding the Fourth Proportional to 3,907.88, 5,864.64 and 1,536.31

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Solution

The fourth proportional to 3,907.88, 5,864.64 and 1,536.31 is: 2,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.88 : 5,864.64 = 1,536.31 : x
  2. Step 2: Convert to fraction form
    3,907.88/5,864.64 = 1,536.31/x
  3. Step 3: Cross multiply
    3,907.88x = 5,864.64 × 1,536.31
  4. Step 4: Simplify right side
    3,907.88x = 9,009,905.08
  5. Step 5: Solve for x
    x = 9,009,905.08/3,907.88
  6. Step 6: Final answer
    x = 2,305.57

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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.