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Finding the Fourth Proportional to 4,859.61, 6,704.42 and 2,969.68

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Solution

The fourth proportional to 4,859.61, 6,704.42 and 2,969.68 is: 4,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.61 : 6,704.42 = 2,969.68 : x
  2. Step 2: Convert to fraction form
    4,859.61/6,704.42 = 2,969.68/x
  3. Step 3: Cross multiply
    4,859.61x = 6,704.42 × 2,969.68
  4. Step 4: Simplify right side
    4,859.61x = 19,909,950.38
  5. Step 5: Solve for x
    x = 19,909,950.38/4,859.61
  6. Step 6: Final answer
    x = 4,097.03

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Why These Related Problems?

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