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Finding the Fourth Proportional to 5,889.34, 8,834.00 and 1,506.79

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Solution

The fourth proportional to 5,889.34, 8,834.00 and 1,506.79 is: 2,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.34 : 8,834.00 = 1,506.79 : x
  2. Step 2: Convert to fraction form
    5,889.34/8,834.00 = 1,506.79/x
  3. Step 3: Cross multiply
    5,889.34x = 8,834.00 × 1,506.79
  4. Step 4: Simplify right side
    5,889.34x = 13,310,953.24
  5. Step 5: Solve for x
    x = 13,310,953.24/5,889.34
  6. Step 6: Final answer
    x = 2,260.18

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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.