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Finding the Fourth Proportional to 5,916.38, 8,874.63 and 1,533.57

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Solution

The fourth proportional to 5,916.38, 8,874.63 and 1,533.57 is: 2,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.38 : 8,874.63 = 1,533.57 : x
  2. Step 2: Convert to fraction form
    5,916.38/8,874.63 = 1,533.57/x
  3. Step 3: Cross multiply
    5,916.38x = 8,874.63 × 1,533.57
  4. Step 4: Simplify right side
    5,916.38x = 13,609,833.05
  5. Step 5: Solve for x
    x = 13,609,833.05/5,916.38
  6. Step 6: Final answer
    x = 2,300.37

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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.