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Finding the Fourth Proportional to 5,113.94, 7,671.11 and 1,826.96

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Solution

The fourth proportional to 5,113.94, 7,671.11 and 1,826.96 is: 2,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.94 : 7,671.11 = 1,826.96 : x
  2. Step 2: Convert to fraction form
    5,113.94/7,671.11 = 1,826.96/x
  3. Step 3: Cross multiply
    5,113.94x = 7,671.11 × 1,826.96
  4. Step 4: Simplify right side
    5,113.94x = 14,014,763.64
  5. Step 5: Solve for x
    x = 14,014,763.64/5,113.94
  6. Step 6: Final answer
    x = 2,740.50

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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.