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Finding the Fourth Proportional to 3,600.54, 4,968.27 and 2,007

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Solution

The fourth proportional to 3,600.54, 4,968.27 and 2,007 is: 2,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.54 : 4,968.27 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,600.54/4,968.27 = 2,007/x
  3. Step 3: Cross multiply
    3,600.54x = 4,968.27 × 2,007
  4. Step 4: Simplify right side
    3,600.54x = 9,971,317.89
  5. Step 5: Solve for x
    x = 9,971,317.89/3,600.54
  6. Step 6: Final answer
    x = 2,769.40

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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.