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Finding the Fourth Proportional to 3,291.84, 4,938.30 and 1,559.52

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Solution

The fourth proportional to 3,291.84, 4,938.30 and 1,559.52 is: 2,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.84 : 4,938.30 = 1,559.52 : x
  2. Step 2: Convert to fraction form
    3,291.84/4,938.30 = 1,559.52/x
  3. Step 3: Cross multiply
    3,291.84x = 4,938.30 × 1,559.52
  4. Step 4: Simplify right side
    3,291.84x = 7,701,377.62
  5. Step 5: Solve for x
    x = 7,701,377.62/3,291.84
  6. Step 6: Final answer
    x = 2,339.54

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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.