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Finding the Fourth Proportional to 5,889.36, 8,834.00 and 1,506.81

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Solution

The fourth proportional to 5,889.36, 8,834.00 and 1,506.81 is: 2,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.36 : 8,834.00 = 1,506.81 : x
  2. Step 2: Convert to fraction form
    5,889.36/8,834.00 = 1,506.81/x
  3. Step 3: Cross multiply
    5,889.36x = 8,834.00 × 1,506.81
  4. Step 4: Simplify right side
    5,889.36x = 13,311,152.01
  5. Step 5: Solve for x
    x = 13,311,152.01/5,889.36
  6. Step 6: Final answer
    x = 2,260.20

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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.