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Finding the Fourth Proportional to 3,475.68, 4,796.23 and 1,903.47

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Solution

The fourth proportional to 3,475.68, 4,796.23 and 1,903.47 is: 2,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.68 : 4,796.23 = 1,903.47 : x
  2. Step 2: Convert to fraction form
    3,475.68/4,796.23 = 1,903.47/x
  3. Step 3: Cross multiply
    3,475.68x = 4,796.23 × 1,903.47
  4. Step 4: Simplify right side
    3,475.68x = 9,129,479.92
  5. Step 5: Solve for x
    x = 9,129,479.92/3,475.68
  6. Step 6: Final answer
    x = 2,626.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.