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Finding the Fourth Proportional to 5,326.40, 7,989.65 and 1,628.70

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Solution

The fourth proportional to 5,326.40, 7,989.65 and 1,628.70 is: 2,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.40 : 7,989.65 = 1,628.70 : x
  2. Step 2: Convert to fraction form
    5,326.40/7,989.65 = 1,628.70/x
  3. Step 3: Cross multiply
    5,326.40x = 7,989.65 × 1,628.70
  4. Step 4: Simplify right side
    5,326.40x = 13,012,734.81
  5. Step 5: Solve for x
    x = 13,012,734.81/5,326.40
  6. Step 6: Final answer
    x = 2,443.06

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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.