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Finding the Fourth Proportional to 5,096.64, 7,643.52 and 1,632.48

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Solution

The fourth proportional to 5,096.64, 7,643.52 and 1,632.48 is: 2,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.64 : 7,643.52 = 1,632.48 : x
  2. Step 2: Convert to fraction form
    5,096.64/7,643.52 = 1,632.48/x
  3. Step 3: Cross multiply
    5,096.64x = 7,643.52 × 1,632.48
  4. Step 4: Simplify right side
    5,096.64x = 12,477,893.53
  5. Step 5: Solve for x
    x = 12,477,893.53/5,096.64
  6. Step 6: Final answer
    x = 2,448.26

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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.