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Finding the Fourth Proportional to 3,820.96, 5,733.60 and 1,514.08

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Solution

The fourth proportional to 3,820.96, 5,733.60 and 1,514.08 is: 2,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.96 : 5,733.60 = 1,514.08 : x
  2. Step 2: Convert to fraction form
    3,820.96/5,733.60 = 1,514.08/x
  3. Step 3: Cross multiply
    3,820.96x = 5,733.60 × 1,514.08
  4. Step 4: Simplify right side
    3,820.96x = 8,681,129.09
  5. Step 5: Solve for x
    x = 8,681,129.09/3,820.96
  6. Step 6: Final answer
    x = 2,271.98

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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.