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Finding the Fourth Proportional to 5,785.71, 7,984.43 and 3,516.27

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Solution

The fourth proportional to 5,785.71, 7,984.43 and 3,516.27 is: 4,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.71 : 7,984.43 = 3,516.27 : x
  2. Step 2: Convert to fraction form
    5,785.71/7,984.43 = 3,516.27/x
  3. Step 3: Cross multiply
    5,785.71x = 7,984.43 × 3,516.27
  4. Step 4: Simplify right side
    5,785.71x = 28,075,394.09
  5. Step 5: Solve for x
    x = 28,075,394.09/5,785.71
  6. Step 6: Final answer
    x = 4,852.54

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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.