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Finding the Fourth Proportional to 5,671.98, 7,826.88 and 3,154.05

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Solution

The fourth proportional to 5,671.98, 7,826.88 and 3,154.05 is: 4,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.98 : 7,826.88 = 3,154.05 : x
  2. Step 2: Convert to fraction form
    5,671.98/7,826.88 = 3,154.05/x
  3. Step 3: Cross multiply
    5,671.98x = 7,826.88 × 3,154.05
  4. Step 4: Simplify right side
    5,671.98x = 24,686,370.86
  5. Step 5: Solve for x
    x = 24,686,370.86/5,671.98
  6. Step 6: Final answer
    x = 4,352.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.