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Finding the Fourth Proportional to 5,889.51, 8,834.36 and 1,506.87

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Solution

The fourth proportional to 5,889.51, 8,834.36 and 1,506.87 is: 2,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.51 : 8,834.36 = 1,506.87 : x
  2. Step 2: Convert to fraction form
    5,889.51/8,834.36 = 1,506.87/x
  3. Step 3: Cross multiply
    5,889.51x = 8,834.36 × 1,506.87
  4. Step 4: Simplify right side
    5,889.51x = 13,312,224.52
  5. Step 5: Solve for x
    x = 13,312,224.52/5,889.51
  6. Step 6: Final answer
    x = 2,260.33

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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.