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Finding the Fourth Proportional to 4,185.99, 5,774.49 and 2,506.59

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Solution

The fourth proportional to 4,185.99, 5,774.49 and 2,506.59 is: 3,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.99 : 5,774.49 = 2,506.59 : x
  2. Step 2: Convert to fraction form
    4,185.99/5,774.49 = 2,506.59/x
  3. Step 3: Cross multiply
    4,185.99x = 5,774.49 × 2,506.59
  4. Step 4: Simplify right side
    4,185.99x = 14,474,278.89
  5. Step 5: Solve for x
    x = 14,474,278.89/4,185.99
  6. Step 6: Final answer
    x = 3,457.79

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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.