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Finding the Fourth Proportional to 3,320.47, 4,582.28 and 1,828.48

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Solution

The fourth proportional to 3,320.47, 4,582.28 and 1,828.48 is: 2,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.47 : 4,582.28 = 1,828.48 : x
  2. Step 2: Convert to fraction form
    3,320.47/4,582.28 = 1,828.48/x
  3. Step 3: Cross multiply
    3,320.47x = 4,582.28 × 1,828.48
  4. Step 4: Simplify right side
    3,320.47x = 8,378,607.33
  5. Step 5: Solve for x
    x = 8,378,607.33/3,320.47
  6. Step 6: Final answer
    x = 2,523.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.