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Finding the Fourth Proportional to 5,137.58, 7,708.76 and 1,628.13

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Solution

The fourth proportional to 5,137.58, 7,708.76 and 1,628.13 is: 2,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.58 : 7,708.76 = 1,628.13 : x
  2. Step 2: Convert to fraction form
    5,137.58/7,708.76 = 1,628.13/x
  3. Step 3: Cross multiply
    5,137.58x = 7,708.76 × 1,628.13
  4. Step 4: Simplify right side
    5,137.58x = 12,550,863.42
  5. Step 5: Solve for x
    x = 12,550,863.42/5,137.58
  6. Step 6: Final answer
    x = 2,442.95

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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.