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Finding the Fourth Proportional to 5,769.51, 7,959.11 and 3,530.67

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Solution

The fourth proportional to 5,769.51, 7,959.11 and 3,530.67 is: 4,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.51 : 7,959.11 = 3,530.67 : x
  2. Step 2: Convert to fraction form
    5,769.51/7,959.11 = 3,530.67/x
  3. Step 3: Cross multiply
    5,769.51x = 7,959.11 × 3,530.67
  4. Step 4: Simplify right side
    5,769.51x = 28,100,973.25
  5. Step 5: Solve for x
    x = 28,100,973.25/5,769.51
  6. Step 6: Final answer
    x = 4,870.60

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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.