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Finding the Fourth Proportional to 3,756.65, 5,184.56 and 2,163.35

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Solution

The fourth proportional to 3,756.65, 5,184.56 and 2,163.35 is: 2,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.65 : 5,184.56 = 2,163.35 : x
  2. Step 2: Convert to fraction form
    3,756.65/5,184.56 = 2,163.35/x
  3. Step 3: Cross multiply
    3,756.65x = 5,184.56 × 2,163.35
  4. Step 4: Simplify right side
    3,756.65x = 11,216,017.88
  5. Step 5: Solve for x
    x = 11,216,017.88/3,756.65
  6. Step 6: Final answer
    x = 2,985.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.