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Finding the Fourth Proportional to 5,756.34, 8,634.69 and 1,596.39

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Solution

The fourth proportional to 5,756.34, 8,634.69 and 1,596.39 is: 2,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.34 : 8,634.69 = 1,596.39 : x
  2. Step 2: Convert to fraction form
    5,756.34/8,634.69 = 1,596.39/x
  3. Step 3: Cross multiply
    5,756.34x = 8,634.69 × 1,596.39
  4. Step 4: Simplify right side
    5,756.34x = 13,784,332.77
  5. Step 5: Solve for x
    x = 13,784,332.77/5,756.34
  6. Step 6: Final answer
    x = 2,394.63

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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.