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Finding the Fourth Proportional to 3,748.08, 5,171.40 and 2,506.08

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Solution

The fourth proportional to 3,748.08, 5,171.40 and 2,506.08 is: 3,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.08 : 5,171.40 = 2,506.08 : x
  2. Step 2: Convert to fraction form
    3,748.08/5,171.40 = 2,506.08/x
  3. Step 3: Cross multiply
    3,748.08x = 5,171.40 × 2,506.08
  4. Step 4: Simplify right side
    3,748.08x = 12,959,942.11
  5. Step 5: Solve for x
    x = 12,959,942.11/3,748.08
  6. Step 6: Final answer
    x = 3,457.75

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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.