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Finding the Fourth Proportional to 5,705.34, 8,549.70 and 2,780.34

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Solution

The fourth proportional to 5,705.34, 8,549.70 and 2,780.34 is: 4,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.34 : 8,549.70 = 2,780.34 : x
  2. Step 2: Convert to fraction form
    5,705.34/8,549.70 = 2,780.34/x
  3. Step 3: Cross multiply
    5,705.34x = 8,549.70 × 2,780.34
  4. Step 4: Simplify right side
    5,705.34x = 23,771,072.90
  5. Step 5: Solve for x
    x = 23,771,072.90/5,705.34
  6. Step 6: Final answer
    x = 4,166.46

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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.