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Finding the Fourth Proportional to 3,814.64, 5,723.33 and 2,352.09

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Solution

The fourth proportional to 3,814.64, 5,723.33 and 2,352.09 is: 3,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.64 : 5,723.33 = 2,352.09 : x
  2. Step 2: Convert to fraction form
    3,814.64/5,723.33 = 2,352.09/x
  3. Step 3: Cross multiply
    3,814.64x = 5,723.33 × 2,352.09
  4. Step 4: Simplify right side
    3,814.64x = 13,461,775.50
  5. Step 5: Solve for x
    x = 13,461,775.50/3,814.64
  6. Step 6: Final answer
    x = 3,528.98

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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.