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Finding the Fourth Proportional to 4,097.56, 5,655.53 and 2,605.19

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Solution

The fourth proportional to 4,097.56, 5,655.53 and 2,605.19 is: 3,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.56 : 5,655.53 = 2,605.19 : x
  2. Step 2: Convert to fraction form
    4,097.56/5,655.53 = 2,605.19/x
  3. Step 3: Cross multiply
    4,097.56x = 5,655.53 × 2,605.19
  4. Step 4: Simplify right side
    4,097.56x = 14,733,729.64
  5. Step 5: Solve for x
    x = 14,733,729.64/4,097.56
  6. Step 6: Final answer
    x = 3,595.73

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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.