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Finding the Fourth Proportional to 7,594.92, 11,389.44 and 3,210

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Solution

The fourth proportional to 7,594.92, 11,389.44 and 3,210 is: 4,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.92 : 11,389.44 = 3,210 : x
  2. Step 2: Convert to fraction form
    7,594.92/11,389.44 = 3,210/x
  3. Step 3: Cross multiply
    7,594.92x = 11,389.44 × 3,210
  4. Step 4: Simplify right side
    7,594.92x = 36,560,102.40
  5. Step 5: Solve for x
    x = 36,560,102.40/7,594.92
  6. Step 6: Final answer
    x = 4,813.76

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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.