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Finding the Fourth Proportional to 3,907.51, 5,864.07 and 1,535.95

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Solution

The fourth proportional to 3,907.51, 5,864.07 and 1,535.95 is: 2,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.51 : 5,864.07 = 1,535.95 : x
  2. Step 2: Convert to fraction form
    3,907.51/5,864.07 = 1,535.95/x
  3. Step 3: Cross multiply
    3,907.51x = 5,864.07 × 1,535.95
  4. Step 4: Simplify right side
    3,907.51x = 9,006,918.32
  5. Step 5: Solve for x
    x = 9,006,918.32/3,907.51
  6. Step 6: Final answer
    x = 2,305.03

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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.