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Finding the Fourth Proportional to 5,716, 8,574.08 and 1,612

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Solution

The fourth proportional to 5,716, 8,574.08 and 1,612 is: 2,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716 : 8,574.08 = 1,612 : x
  2. Step 2: Convert to fraction form
    5,716/8,574.08 = 1,612/x
  3. Step 3: Cross multiply
    5,716x = 8,574.08 × 1,612
  4. Step 4: Simplify right side
    5,716x = 13,821,416.96
  5. Step 5: Solve for x
    x = 13,821,416.96/5,716
  6. Step 6: Final answer
    x = 2,418.02

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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.