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Finding the Fourth Proportional to 3,907.29, 5,860.70 and 1,133.90

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Solution

The fourth proportional to 3,907.29, 5,860.70 and 1,133.90 is: 1,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.29 : 5,860.70 = 1,133.90 : x
  2. Step 2: Convert to fraction form
    3,907.29/5,860.70 = 1,133.90/x
  3. Step 3: Cross multiply
    3,907.29x = 5,860.70 × 1,133.90
  4. Step 4: Simplify right side
    3,907.29x = 6,645,445.36
  5. Step 5: Solve for x
    x = 6,645,445.36/3,907.29
  6. Step 6: Final answer
    x = 1,700.78

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