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Finding the Fourth Proportional to 5,874.36, 8,812.50 and 2,176.40

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Solution

The fourth proportional to 5,874.36, 8,812.50 and 2,176.40 is: 3,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.36 : 8,812.50 = 2,176.40 : x
  2. Step 2: Convert to fraction form
    5,874.36/8,812.50 = 2,176.40/x
  3. Step 3: Cross multiply
    5,874.36x = 8,812.50 × 2,176.40
  4. Step 4: Simplify right side
    5,874.36x = 19,179,538.87
  5. Step 5: Solve for x
    x = 19,179,538.87/5,874.36
  6. Step 6: Final answer
    x = 3,264.96

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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.