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Finding the Fourth Proportional to 4,185.09, 5,775.17 and 2,506.64

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Solution

The fourth proportional to 4,185.09, 5,775.17 and 2,506.64 is: 3,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.09 : 5,775.17 = 2,506.64 : x
  2. Step 2: Convert to fraction form
    4,185.09/5,775.17 = 2,506.64/x
  3. Step 3: Cross multiply
    4,185.09x = 5,775.17 × 2,506.64
  4. Step 4: Simplify right side
    4,185.09x = 14,476,230.72
  5. Step 5: Solve for x
    x = 14,476,230.72/4,185.09
  6. Step 6: Final answer
    x = 3,459.00

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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.