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Finding the Fourth Proportional to 5,780.70, 8,672.40 and 1,885.14

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Solution

The fourth proportional to 5,780.70, 8,672.40 and 1,885.14 is: 2,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.70 : 8,672.40 = 1,885.14 : x
  2. Step 2: Convert to fraction form
    5,780.70/8,672.40 = 1,885.14/x
  3. Step 3: Cross multiply
    5,780.70x = 8,672.40 × 1,885.14
  4. Step 4: Simplify right side
    5,780.70x = 16,348,688.14
  5. Step 5: Solve for x
    x = 16,348,688.14/5,780.70
  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.