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Finding the Fourth Proportional to 5,142.64, 7,712.41 and 1,632.51

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Solution

The fourth proportional to 5,142.64, 7,712.41 and 1,632.51 is: 2,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.64 : 7,712.41 = 1,632.51 : x
  2. Step 2: Convert to fraction form
    5,142.64/7,712.41 = 1,632.51/x
  3. Step 3: Cross multiply
    5,142.64x = 7,712.41 × 1,632.51
  4. Step 4: Simplify right side
    5,142.64x = 12,590,586.45
  5. Step 5: Solve for x
    x = 12,590,586.45/5,142.64
  6. Step 6: Final answer
    x = 2,448.27

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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.