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Finding the Fourth Proportional to 5,666.79, 8,500.32 and 1,969.14

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Solution

The fourth proportional to 5,666.79, 8,500.32 and 1,969.14 is: 2,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.79 : 8,500.32 = 1,969.14 : x
  2. Step 2: Convert to fraction form
    5,666.79/8,500.32 = 1,969.14/x
  3. Step 3: Cross multiply
    5,666.79x = 8,500.32 × 1,969.14
  4. Step 4: Simplify right side
    5,666.79x = 16,738,320.12
  5. Step 5: Solve for x
    x = 16,738,320.12/5,666.79
  6. Step 6: Final answer
    x = 2,953.76

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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.