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Finding the Fourth Proportional to 5,125.81, 7,689.30 and 1,616.08

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Solution

The fourth proportional to 5,125.81, 7,689.30 and 1,616.08 is: 2,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.81 : 7,689.30 = 1,616.08 : x
  2. Step 2: Convert to fraction form
    5,125.81/7,689.30 = 1,616.08/x
  3. Step 3: Cross multiply
    5,125.81x = 7,689.30 × 1,616.08
  4. Step 4: Simplify right side
    5,125.81x = 12,426,523.94
  5. Step 5: Solve for x
    x = 12,426,523.94/5,125.81
  6. Step 6: Final answer
    x = 2,424.30

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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.