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Finding the Fourth Proportional to 3,929.67, 5,894.37 and 1,332.63

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Solution

The fourth proportional to 3,929.67, 5,894.37 and 1,332.63 is: 1,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.67 : 5,894.37 = 1,332.63 : x
  2. Step 2: Convert to fraction form
    3,929.67/5,894.37 = 1,332.63/x
  3. Step 3: Cross multiply
    3,929.67x = 5,894.37 × 1,332.63
  4. Step 4: Simplify right side
    3,929.67x = 7,855,014.29
  5. Step 5: Solve for x
    x = 7,855,014.29/3,929.67
  6. Step 6: Final answer
    x = 1,998.90

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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.