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Finding the Fourth Proportional to 5,300.64, 7,949.07 and 1,790.10

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Solution

The fourth proportional to 5,300.64, 7,949.07 and 1,790.10 is: 2,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.64 : 7,949.07 = 1,790.10 : x
  2. Step 2: Convert to fraction form
    5,300.64/7,949.07 = 1,790.10/x
  3. Step 3: Cross multiply
    5,300.64x = 7,949.07 × 1,790.10
  4. Step 4: Simplify right side
    5,300.64x = 14,229,630.21
  5. Step 5: Solve for x
    x = 14,229,630.21/5,300.64
  6. Step 6: Final answer
    x = 2,684.51

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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.