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Finding the Fourth Proportional to 5,780.36, 8,671.62 and 1,885.88

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Solution

The fourth proportional to 5,780.36, 8,671.62 and 1,885.88 is: 2,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.36 : 8,671.62 = 1,885.88 : x
  2. Step 2: Convert to fraction form
    5,780.36/8,671.62 = 1,885.88/x
  3. Step 3: Cross multiply
    5,780.36x = 8,671.62 × 1,885.88
  4. Step 4: Simplify right side
    5,780.36x = 16,353,634.73
  5. Step 5: Solve for x
    x = 16,353,634.73/5,780.36
  6. Step 6: Final answer
    x = 2,829.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.