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Finding the Fourth Proportional to 4,453.80, 6,145.14 and 2,880

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Solution

The fourth proportional to 4,453.80, 6,145.14 and 2,880 is: 3,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.80 : 6,145.14 = 2,880 : x
  2. Step 2: Convert to fraction form
    4,453.80/6,145.14 = 2,880/x
  3. Step 3: Cross multiply
    4,453.80x = 6,145.14 × 2,880
  4. Step 4: Simplify right side
    4,453.80x = 17,698,003.20
  5. Step 5: Solve for x
    x = 17,698,003.20/4,453.80
  6. Step 6: Final answer
    x = 3,973.69

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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.