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Finding the Fourth Proportional to 4,501.45, 6,754.12 and 2,419.02

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Solution

The fourth proportional to 4,501.45, 6,754.12 and 2,419.02 is: 3,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.45 : 6,754.12 = 2,419.02 : x
  2. Step 2: Convert to fraction form
    4,501.45/6,754.12 = 2,419.02/x
  3. Step 3: Cross multiply
    4,501.45x = 6,754.12 × 2,419.02
  4. Step 4: Simplify right side
    4,501.45x = 16,338,305.50
  5. Step 5: Solve for x
    x = 16,338,305.50/4,501.45
  6. Step 6: Final answer
    x = 3,629.57

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Why These Related Problems?

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