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Finding the Fourth Proportional to 5,671.40, 7,826.55 and 3,899.93

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Solution

The fourth proportional to 5,671.40, 7,826.55 and 3,899.93 is: 5,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.40 : 7,826.55 = 3,899.93 : x
  2. Step 2: Convert to fraction form
    5,671.40/7,826.55 = 3,899.93/x
  3. Step 3: Cross multiply
    5,671.40x = 7,826.55 × 3,899.93
  4. Step 4: Simplify right side
    5,671.40x = 30,522,994.67
  5. Step 5: Solve for x
    x = 30,522,994.67/5,671.40
  6. Step 6: Final answer
    x = 5,381.92

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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.