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Finding the Fourth Proportional to 5,102.40, 7,653.78 and 1,639.56

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Solution

The fourth proportional to 5,102.40, 7,653.78 and 1,639.56 is: 2,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.40 : 7,653.78 = 1,639.56 : x
  2. Step 2: Convert to fraction form
    5,102.40/7,653.78 = 1,639.56/x
  3. Step 3: Cross multiply
    5,102.40x = 7,653.78 × 1,639.56
  4. Step 4: Simplify right side
    5,102.40x = 12,548,831.54
  5. Step 5: Solve for x
    x = 12,548,831.54/5,102.40
  6. Step 6: Final answer
    x = 2,459.40

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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.