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Finding the Fourth Proportional to 4,813.64, 7,223.34 and 4,421.96

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Solution

The fourth proportional to 4,813.64, 7,223.34 and 4,421.96 is: 6,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.64 : 7,223.34 = 4,421.96 : x
  2. Step 2: Convert to fraction form
    4,813.64/7,223.34 = 4,421.96/x
  3. Step 3: Cross multiply
    4,813.64x = 7,223.34 × 4,421.96
  4. Step 4: Simplify right side
    4,813.64x = 31,941,320.55
  5. Step 5: Solve for x
    x = 31,941,320.55/4,813.64
  6. Step 6: Final answer
    x = 6,635.59

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