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Finding the Fourth Proportional to 5,874.78, 8,812.19 and 1,492.59

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Solution

The fourth proportional to 5,874.78, 8,812.19 and 1,492.59 is: 2,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.78 : 8,812.19 = 1,492.59 : x
  2. Step 2: Convert to fraction form
    5,874.78/8,812.19 = 1,492.59/x
  3. Step 3: Cross multiply
    5,874.78x = 8,812.19 × 1,492.59
  4. Step 4: Simplify right side
    5,874.78x = 13,152,979.21
  5. Step 5: Solve for x
    x = 13,152,979.21/5,874.78
  6. Step 6: Final answer
    x = 2,238.89

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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.