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Finding the Fourth Proportional to 4,074.47, 5,622.77 and 2,211.47

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Solution

The fourth proportional to 4,074.47, 5,622.77 and 2,211.47 is: 3,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.47 : 5,622.77 = 2,211.47 : x
  2. Step 2: Convert to fraction form
    4,074.47/5,622.77 = 2,211.47/x
  3. Step 3: Cross multiply
    4,074.47x = 5,622.77 × 2,211.47
  4. Step 4: Simplify right side
    4,074.47x = 12,434,587.17
  5. Step 5: Solve for x
    x = 12,434,587.17/4,074.47
  6. Step 6: Final answer
    x = 3,051.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.