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Finding the Fourth Proportional to 3,614.45, 5,417.99 and 2,051.16

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Solution

The fourth proportional to 3,614.45, 5,417.99 and 2,051.16 is: 3,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.45 : 5,417.99 = 2,051.16 : x
  2. Step 2: Convert to fraction form
    3,614.45/5,417.99 = 2,051.16/x
  3. Step 3: Cross multiply
    3,614.45x = 5,417.99 × 2,051.16
  4. Step 4: Simplify right side
    3,614.45x = 11,113,141.49
  5. Step 5: Solve for x
    x = 11,113,141.49/3,614.45
  6. Step 6: Final answer
    x = 3,074.64

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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.