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Finding the Fourth Proportional to 6,585.20, 9,877.79 and 1,968.20

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Solution

The fourth proportional to 6,585.20, 9,877.79 and 1,968.20 is: 2,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.20 : 9,877.79 = 1,968.20 : x
  2. Step 2: Convert to fraction form
    6,585.20/9,877.79 = 1,968.20/x
  3. Step 3: Cross multiply
    6,585.20x = 9,877.79 × 1,968.20
  4. Step 4: Simplify right side
    6,585.20x = 19,441,407.05
  5. Step 5: Solve for x
    x = 19,441,407.05/6,585.20
  6. Step 6: Final answer
    x = 2,952.29

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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.