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Finding the Fourth Proportional to 5,307.44, 7,961.20 and 1,842.26

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Solution

The fourth proportional to 5,307.44, 7,961.20 and 1,842.26 is: 2,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.44 : 7,961.20 = 1,842.26 : x
  2. Step 2: Convert to fraction form
    5,307.44/7,961.20 = 1,842.26/x
  3. Step 3: Cross multiply
    5,307.44x = 7,961.20 × 1,842.26
  4. Step 4: Simplify right side
    5,307.44x = 14,666,600.31
  5. Step 5: Solve for x
    x = 14,666,600.31/5,307.44
  6. Step 6: Final answer
    x = 2,763.40

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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.