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Finding the Fourth Proportional to 4,097.54, 5,656.82 and 2,504.55

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Solution

The fourth proportional to 4,097.54, 5,656.82 and 2,504.55 is: 3,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.54 : 5,656.82 = 2,504.55 : x
  2. Step 2: Convert to fraction form
    4,097.54/5,656.82 = 2,504.55/x
  3. Step 3: Cross multiply
    4,097.54x = 5,656.82 × 2,504.55
  4. Step 4: Simplify right side
    4,097.54x = 14,167,811.31
  5. Step 5: Solve for x
    x = 14,167,811.31/4,097.54
  6. Step 6: Final answer
    x = 3,457.64

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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.