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Finding the Fourth Proportional to 3,314.57, 4,973.67 and 1,368.14

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Solution

The fourth proportional to 3,314.57, 4,973.67 and 1,368.14 is: 2,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.57 : 4,973.67 = 1,368.14 : x
  2. Step 2: Convert to fraction form
    3,314.57/4,973.67 = 1,368.14/x
  3. Step 3: Cross multiply
    3,314.57x = 4,973.67 × 1,368.14
  4. Step 4: Simplify right side
    3,314.57x = 6,804,652.01
  5. Step 5: Solve for x
    x = 6,804,652.01/3,314.57
  6. Step 6: Final answer
    x = 2,052.95

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Why These Related Problems?

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