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Finding the Fourth Proportional to 5,613.84, 8,418.60 and 2,835

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Solution

The fourth proportional to 5,613.84, 8,418.60 and 2,835 is: 4,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.84 : 8,418.60 = 2,835 : x
  2. Step 2: Convert to fraction form
    5,613.84/8,418.60 = 2,835/x
  3. Step 3: Cross multiply
    5,613.84x = 8,418.60 × 2,835
  4. Step 4: Simplify right side
    5,613.84x = 23,866,731
  5. Step 5: Solve for x
    x = 23,866,731/5,613.84
  6. Step 6: Final answer
    x = 4,251.41

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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.