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Finding the Fourth Proportional to 5,968.96, 8,950.65 and 1,807.90

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Solution

The fourth proportional to 5,968.96, 8,950.65 and 1,807.90 is: 2,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.96 : 8,950.65 = 1,807.90 : x
  2. Step 2: Convert to fraction form
    5,968.96/8,950.65 = 1,807.90/x
  3. Step 3: Cross multiply
    5,968.96x = 8,950.65 × 1,807.90
  4. Step 4: Simplify right side
    5,968.96x = 16,181,880.14
  5. Step 5: Solve for x
    x = 16,181,880.14/5,968.96
  6. Step 6: Final answer
    x = 2,711.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.