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Finding the Fourth Proportional to 3,804.87, 5,703.46 and 1,580.67

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Solution

The fourth proportional to 3,804.87, 5,703.46 and 1,580.67 is: 2,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.87 : 5,703.46 = 1,580.67 : x
  2. Step 2: Convert to fraction form
    3,804.87/5,703.46 = 1,580.67/x
  3. Step 3: Cross multiply
    3,804.87x = 5,703.46 × 1,580.67
  4. Step 4: Simplify right side
    3,804.87x = 9,015,288.12
  5. Step 5: Solve for x
    x = 9,015,288.12/3,804.87
  6. Step 6: Final answer
    x = 2,369.41

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1.5x scale

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.