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Finding the Fourth Proportional to 5,646.27, 8,471.99 and 2,526.00

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Solution

The fourth proportional to 5,646.27, 8,471.99 and 2,526.00 is: 3,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.27 : 8,471.99 = 2,526.00 : x
  2. Step 2: Convert to fraction form
    5,646.27/8,471.99 = 2,526.00/x
  3. Step 3: Cross multiply
    5,646.27x = 8,471.99 × 2,526.00
  4. Step 4: Simplify right side
    5,646.27x = 21,400,268.94
  5. Step 5: Solve for x
    x = 21,400,268.94/5,646.27
  6. Step 6: Final answer
    x = 3,790.16

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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.