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Finding the Fourth Proportional to 5,188.82, 7,743.06 and 4,635.05

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Solution

The fourth proportional to 5,188.82, 7,743.06 and 4,635.05 is: 6,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.82 : 7,743.06 = 4,635.05 : x
  2. Step 2: Convert to fraction form
    5,188.82/7,743.06 = 4,635.05/x
  3. Step 3: Cross multiply
    5,188.82x = 7,743.06 × 4,635.05
  4. Step 4: Simplify right side
    5,188.82x = 35,889,431.54
  5. Step 5: Solve for x
    x = 35,889,431.54/5,188.82
  6. Step 6: Final answer
    x = 6,916.69

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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.