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Finding the Fourth Proportional to 3,907.78, 5,860.45 and 1,134.65

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Solution

The fourth proportional to 3,907.78, 5,860.45 and 1,134.65 is: 1,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.78 : 5,860.45 = 1,134.65 : x
  2. Step 2: Convert to fraction form
    3,907.78/5,860.45 = 1,134.65/x
  3. Step 3: Cross multiply
    3,907.78x = 5,860.45 × 1,134.65
  4. Step 4: Simplify right side
    3,907.78x = 6,649,559.59
  5. Step 5: Solve for x
    x = 6,649,559.59/3,907.78
  6. Step 6: Final answer
    x = 1,701.62

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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.