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Finding the Fourth Proportional to 5,338.40, 8,007.44 and 1,640.48

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Solution

The fourth proportional to 5,338.40, 8,007.44 and 1,640.48 is: 2,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.40 : 8,007.44 = 1,640.48 : x
  2. Step 2: Convert to fraction form
    5,338.40/8,007.44 = 1,640.48/x
  3. Step 3: Cross multiply
    5,338.40x = 8,007.44 × 1,640.48
  4. Step 4: Simplify right side
    5,338.40x = 13,136,045.17
  5. Step 5: Solve for x
    x = 13,136,045.17/5,338.40
  6. Step 6: Final answer
    x = 2,460.67

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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.