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Finding the Fourth Proportional to 5,596, 8,391.76 and 1,699.68

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Solution

The fourth proportional to 5,596, 8,391.76 and 1,699.68 is: 2,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596 : 8,391.76 = 1,699.68 : x
  2. Step 2: Convert to fraction form
    5,596/8,391.76 = 1,699.68/x
  3. Step 3: Cross multiply
    5,596x = 8,391.76 × 1,699.68
  4. Step 4: Simplify right side
    5,596x = 14,263,306.64
  5. Step 5: Solve for x
    x = 14,263,306.64/5,596
  6. Step 6: Final answer
    x = 2,548.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.