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Finding the Fourth Proportional to 4,506.83, 6,760.07 and 2,041.64

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Solution

The fourth proportional to 4,506.83, 6,760.07 and 2,041.64 is: 3,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.83 : 6,760.07 = 2,041.64 : x
  2. Step 2: Convert to fraction form
    4,506.83/6,760.07 = 2,041.64/x
  3. Step 3: Cross multiply
    4,506.83x = 6,760.07 × 2,041.64
  4. Step 4: Simplify right side
    4,506.83x = 13,801,629.31
  5. Step 5: Solve for x
    x = 13,801,629.31/4,506.83
  6. Step 6: Final answer
    x = 3,062.38

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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.