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Finding the Fourth Proportional to 5,782.84, 8,674.14 and 1,623.10

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Solution

The fourth proportional to 5,782.84, 8,674.14 and 1,623.10 is: 2,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.84 : 8,674.14 = 1,623.10 : x
  2. Step 2: Convert to fraction form
    5,782.84/8,674.14 = 1,623.10/x
  3. Step 3: Cross multiply
    5,782.84x = 8,674.14 × 1,623.10
  4. Step 4: Simplify right side
    5,782.84x = 14,078,996.63
  5. Step 5: Solve for x
    x = 14,078,996.63/5,782.84
  6. Step 6: Final answer
    x = 2,434.62

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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.