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Finding the Fourth Proportional to 4,338, 6,508.08 and 1,260

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Solution

The fourth proportional to 4,338, 6,508.08 and 1,260 is: 1,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338 : 6,508.08 = 1,260 : x
  2. Step 2: Convert to fraction form
    4,338/6,508.08 = 1,260/x
  3. Step 3: Cross multiply
    4,338x = 6,508.08 × 1,260
  4. Step 4: Simplify right side
    4,338x = 8,200,180.80
  5. Step 5: Solve for x
    x = 8,200,180.80/4,338
  6. Step 6: Final answer
    x = 1,890.31

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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.