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Finding the Fourth Proportional to 4,764.90, 7,147.26 and 1,841.52

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Solution

The fourth proportional to 4,764.90, 7,147.26 and 1,841.52 is: 2,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.90 : 7,147.26 = 1,841.52 : x
  2. Step 2: Convert to fraction form
    4,764.90/7,147.26 = 1,841.52/x
  3. Step 3: Cross multiply
    4,764.90x = 7,147.26 × 1,841.52
  4. Step 4: Simplify right side
    4,764.90x = 13,161,822.24
  5. Step 5: Solve for x
    x = 13,161,822.24/4,764.90
  6. Step 6: Final answer
    x = 2,762.25

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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.