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Finding the Fourth Proportional to 4,076.63, 6,117.22 and 3,763.16

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Solution

The fourth proportional to 4,076.63, 6,117.22 and 3,763.16 is: 5,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.63 : 6,117.22 = 3,763.16 : x
  2. Step 2: Convert to fraction form
    4,076.63/6,117.22 = 3,763.16/x
  3. Step 3: Cross multiply
    4,076.63x = 6,117.22 × 3,763.16
  4. Step 4: Simplify right side
    4,076.63x = 23,020,074.67
  5. Step 5: Solve for x
    x = 23,020,074.67/4,076.63
  6. Step 6: Final answer
    x = 5,646.84

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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.