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Finding the Fourth Proportional to 5,916.79, 8,874.10 and 1,533.97

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Solution

The fourth proportional to 5,916.79, 8,874.10 and 1,533.97 is: 2,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.79 : 8,874.10 = 1,533.97 : x
  2. Step 2: Convert to fraction form
    5,916.79/8,874.10 = 1,533.97/x
  3. Step 3: Cross multiply
    5,916.79x = 8,874.10 × 1,533.97
  4. Step 4: Simplify right side
    5,916.79x = 13,612,603.18
  5. Step 5: Solve for x
    x = 13,612,603.18/5,916.79
  6. Step 6: Final answer
    x = 2,300.67

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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.