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Finding the Fourth Proportional to 6,580.34, 9,868.80 and 1,899.31

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Solution

The fourth proportional to 6,580.34, 9,868.80 and 1,899.31 is: 2,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.34 : 9,868.80 = 1,899.31 : x
  2. Step 2: Convert to fraction form
    6,580.34/9,868.80 = 1,899.31/x
  3. Step 3: Cross multiply
    6,580.34x = 9,868.80 × 1,899.31
  4. Step 4: Simplify right side
    6,580.34x = 18,743,861.18
  5. Step 5: Solve for x
    x = 18,743,861.18/6,580.34
  6. Step 6: Final answer
    x = 2,848.46

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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.