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Finding the Fourth Proportional to 6,079.50, 9,120.45 and 1,920.15

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Solution

The fourth proportional to 6,079.50, 9,120.45 and 1,920.15 is: 2,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079.50 : 9,120.45 = 1,920.15 : x
  2. Step 2: Convert to fraction form
    6,079.50/9,120.45 = 1,920.15/x
  3. Step 3: Cross multiply
    6,079.50x = 9,120.45 × 1,920.15
  4. Step 4: Simplify right side
    6,079.50x = 17,512,632.07
  5. Step 5: Solve for x
    x = 17,512,632.07/6,079.50
  6. Step 6: Final answer
    x = 2,880.60

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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.