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Finding the Fourth Proportional to 3,506.58, 5,256.68 and 1,314.11

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Solution

The fourth proportional to 3,506.58, 5,256.68 and 1,314.11 is: 1,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.58 : 5,256.68 = 1,314.11 : x
  2. Step 2: Convert to fraction form
    3,506.58/5,256.68 = 1,314.11/x
  3. Step 3: Cross multiply
    3,506.58x = 5,256.68 × 1,314.11
  4. Step 4: Simplify right side
    3,506.58x = 6,907,855.75
  5. Step 5: Solve for x
    x = 6,907,855.75/3,506.58
  6. Step 6: Final answer
    x = 1,969.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.