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Finding the Fourth Proportional to 5,034.09, 6,946.90 and 2,880.69

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Solution

The fourth proportional to 5,034.09, 6,946.90 and 2,880.69 is: 3,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.09 : 6,946.90 = 2,880.69 : x
  2. Step 2: Convert to fraction form
    5,034.09/6,946.90 = 2,880.69/x
  3. Step 3: Cross multiply
    5,034.09x = 6,946.90 × 2,880.69
  4. Step 4: Simplify right side
    5,034.09x = 20,011,865.36
  5. Step 5: Solve for x
    x = 20,011,865.36/5,034.09
  6. Step 6: Final answer
    x = 3,975.27

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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.