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Finding the Fourth Proportional to 5,769.34, 8,653.20 and 2,071.06

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Solution

The fourth proportional to 5,769.34, 8,653.20 and 2,071.06 is: 3,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.34 : 8,653.20 = 2,071.06 : x
  2. Step 2: Convert to fraction form
    5,769.34/8,653.20 = 2,071.06/x
  3. Step 3: Cross multiply
    5,769.34x = 8,653.20 × 2,071.06
  4. Step 4: Simplify right side
    5,769.34x = 17,921,296.39
  5. Step 5: Solve for x
    x = 17,921,296.39/5,769.34
  6. Step 6: Final answer
    x = 3,106.30

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1.5x scale

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.