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Finding the Fourth Proportional to 5,780.32, 8,671.92 and 1,885.12

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Solution

The fourth proportional to 5,780.32, 8,671.92 and 1,885.12 is: 2,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.32 : 8,671.92 = 1,885.12 : x
  2. Step 2: Convert to fraction form
    5,780.32/8,671.92 = 1,885.12/x
  3. Step 3: Cross multiply
    5,780.32x = 8,671.92 × 1,885.12
  4. Step 4: Simplify right side
    5,780.32x = 16,347,609.83
  5. Step 5: Solve for x
    x = 16,347,609.83/5,780.32
  6. Step 6: Final answer
    x = 2,828.15

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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.