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Finding the Fourth Proportional to 4,699.29, 7,052.36 and 3,785.88

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Solution

The fourth proportional to 4,699.29, 7,052.36 and 3,785.88 is: 5,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.29 : 7,052.36 = 3,785.88 : x
  2. Step 2: Convert to fraction form
    4,699.29/7,052.36 = 3,785.88/x
  3. Step 3: Cross multiply
    4,699.29x = 7,052.36 × 3,785.88
  4. Step 4: Simplify right side
    4,699.29x = 26,699,369.75
  5. Step 5: Solve for x
    x = 26,699,369.75/4,699.29
  6. Step 6: Final answer
    x = 5,681.58

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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.