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Finding the Fourth Proportional to 3,632.32, 5,448.68 and 1,784.28

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Solution

The fourth proportional to 3,632.32, 5,448.68 and 1,784.28 is: 2,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.32 : 5,448.68 = 1,784.28 : x
  2. Step 2: Convert to fraction form
    3,632.32/5,448.68 = 1,784.28/x
  3. Step 3: Cross multiply
    3,632.32x = 5,448.68 × 1,784.28
  4. Step 4: Simplify right side
    3,632.32x = 9,721,970.75
  5. Step 5: Solve for x
    x = 9,721,970.75/3,632.32
  6. Step 6: Final answer
    x = 2,676.52

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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.