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Finding the Fourth Proportional to 5,898.48, 8,846.38 and 1,738.77

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Solution

The fourth proportional to 5,898.48, 8,846.38 and 1,738.77 is: 2,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.48 : 8,846.38 = 1,738.77 : x
  2. Step 2: Convert to fraction form
    5,898.48/8,846.38 = 1,738.77/x
  3. Step 3: Cross multiply
    5,898.48x = 8,846.38 × 1,738.77
  4. Step 4: Simplify right side
    5,898.48x = 15,381,820.15
  5. Step 5: Solve for x
    x = 15,381,820.15/5,898.48
  6. Step 6: Final answer
    x = 2,607.76

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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.