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Finding the Fourth Proportional to 4,007.76, 5,975.75 and 4,002.28

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Solution

The fourth proportional to 4,007.76, 5,975.75 and 4,002.28 is: 5,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.76 : 5,975.75 = 4,002.28 : x
  2. Step 2: Convert to fraction form
    4,007.76/5,975.75 = 4,002.28/x
  3. Step 3: Cross multiply
    4,007.76x = 5,975.75 × 4,002.28
  4. Step 4: Simplify right side
    4,007.76x = 23,916,624.71
  5. Step 5: Solve for x
    x = 23,916,624.71/4,007.76
  6. Step 6: Final answer
    x = 5,967.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.