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Finding the Fourth Proportional to 5,674.71, 8,509.92 and 2,554.59

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Solution

The fourth proportional to 5,674.71, 8,509.92 and 2,554.59 is: 3,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.71 : 8,509.92 = 2,554.59 : x
  2. Step 2: Convert to fraction form
    5,674.71/8,509.92 = 2,554.59/x
  3. Step 3: Cross multiply
    5,674.71x = 8,509.92 × 2,554.59
  4. Step 4: Simplify right side
    5,674.71x = 21,739,356.53
  5. Step 5: Solve for x
    x = 21,739,356.53/5,674.71
  6. Step 6: Final answer
    x = 3,830.92

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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.