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Finding the Fourth Proportional to 3,907.04, 5,860.76 and 1,309.77

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Solution

The fourth proportional to 3,907.04, 5,860.76 and 1,309.77 is: 1,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.04 : 5,860.76 = 1,309.77 : x
  2. Step 2: Convert to fraction form
    3,907.04/5,860.76 = 1,309.77/x
  3. Step 3: Cross multiply
    3,907.04x = 5,860.76 × 1,309.77
  4. Step 4: Simplify right side
    3,907.04x = 7,676,241.08
  5. Step 5: Solve for x
    x = 7,676,241.08/3,907.04
  6. Step 6: Final answer
    x = 1,964.72

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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.