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Finding the Fourth Proportional to 4,645.93, 6,969.96 and 2,013.87

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Solution

The fourth proportional to 4,645.93, 6,969.96 and 2,013.87 is: 3,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.93 : 6,969.96 = 2,013.87 : x
  2. Step 2: Convert to fraction form
    4,645.93/6,969.96 = 2,013.87/x
  3. Step 3: Cross multiply
    4,645.93x = 6,969.96 × 2,013.87
  4. Step 4: Simplify right side
    4,645.93x = 14,036,619.48
  5. Step 5: Solve for x
    x = 14,036,619.48/4,645.93
  6. Step 6: Final answer
    x = 3,021.27

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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.