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Finding the Fourth Proportional to 3,364.07, 5,045.32 and 1,283.31

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Solution

The fourth proportional to 3,364.07, 5,045.32 and 1,283.31 is: 1,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.07 : 5,045.32 = 1,283.31 : x
  2. Step 2: Convert to fraction form
    3,364.07/5,045.32 = 1,283.31/x
  3. Step 3: Cross multiply
    3,364.07x = 5,045.32 × 1,283.31
  4. Step 4: Simplify right side
    3,364.07x = 6,474,711.21
  5. Step 5: Solve for x
    x = 6,474,711.21/3,364.07
  6. Step 6: Final answer
    x = 1,924.67

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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.