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Finding the Fourth Proportional to 4,813.62, 7,220.64 and 1,526.64

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Solution

The fourth proportional to 4,813.62, 7,220.64 and 1,526.64 is: 2,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.62 : 7,220.64 = 1,526.64 : x
  2. Step 2: Convert to fraction form
    4,813.62/7,220.64 = 1,526.64/x
  3. Step 3: Cross multiply
    4,813.62x = 7,220.64 × 1,526.64
  4. Step 4: Simplify right side
    4,813.62x = 11,023,317.85
  5. Step 5: Solve for x
    x = 11,023,317.85/4,813.62
  6. Step 6: Final answer
    x = 2,290.03

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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.