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Finding the Fourth Proportional to 3,291, 4,938.68 and 1,239

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Solution

The fourth proportional to 3,291, 4,938.68 and 1,239 is: 1,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291 : 4,938.68 = 1,239 : x
  2. Step 2: Convert to fraction form
    3,291/4,938.68 = 1,239/x
  3. Step 3: Cross multiply
    3,291x = 4,938.68 × 1,239
  4. Step 4: Simplify right side
    3,291x = 6,119,024.52
  5. Step 5: Solve for x
    x = 6,119,024.52/3,291
  6. Step 6: Final answer
    x = 1,859.32

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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.