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Finding the Fourth Proportional to 3,398.14, 5,097.60 and 933.04

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Solution

The fourth proportional to 3,398.14, 5,097.60 and 933.04 is: 1,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.14 : 5,097.60 = 933.04 : x
  2. Step 2: Convert to fraction form
    3,398.14/5,097.60 = 933.04/x
  3. Step 3: Cross multiply
    3,398.14x = 5,097.60 × 933.04
  4. Step 4: Simplify right side
    3,398.14x = 4,756,264.70
  5. Step 5: Solve for x
    x = 4,756,264.70/3,398.14
  6. Step 6: Final answer
    x = 1,399.67

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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.