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Finding the Fourth Proportional to 5,806.50, 8,007.54 and 4,478.10

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Solution

The fourth proportional to 5,806.50, 8,007.54 and 4,478.10 is: 6,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.50 : 8,007.54 = 4,478.10 : x
  2. Step 2: Convert to fraction form
    5,806.50/8,007.54 = 4,478.10/x
  3. Step 3: Cross multiply
    5,806.50x = 8,007.54 × 4,478.10
  4. Step 4: Simplify right side
    5,806.50x = 35,858,564.87
  5. Step 5: Solve for x
    x = 35,858,564.87/5,806.50
  6. Step 6: Final answer
    x = 6,175.59

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1.5x scale

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.