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Finding the Fourth Proportional to 5,617.71, 7,752.80 and 3,228.45

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Solution

The fourth proportional to 5,617.71, 7,752.80 and 3,228.45 is: 4,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.71 : 7,752.80 = 3,228.45 : x
  2. Step 2: Convert to fraction form
    5,617.71/7,752.80 = 3,228.45/x
  3. Step 3: Cross multiply
    5,617.71x = 7,752.80 × 3,228.45
  4. Step 4: Simplify right side
    5,617.71x = 25,029,511.02
  5. Step 5: Solve for x
    x = 25,029,511.02/5,617.71
  6. Step 6: Final answer
    x = 4,455.47

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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.