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Finding the Fourth Proportional to 5,290.92, 7,965.54 and 4,576.50

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Solution

The fourth proportional to 5,290.92, 7,965.54 and 4,576.50 is: 6,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.92 : 7,965.54 = 4,576.50 : x
  2. Step 2: Convert to fraction form
    5,290.92/7,965.54 = 4,576.50/x
  3. Step 3: Cross multiply
    5,290.92x = 7,965.54 × 4,576.50
  4. Step 4: Simplify right side
    5,290.92x = 36,454,293.81
  5. Step 5: Solve for x
    x = 36,454,293.81/5,290.92
  6. Step 6: Final answer
    x = 6,889.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.