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Finding the Fourth Proportional to 4,801.84, 7,201.36 and 1,681.28

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Solution

The fourth proportional to 4,801.84, 7,201.36 and 1,681.28 is: 2,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.84 : 7,201.36 = 1,681.28 : x
  2. Step 2: Convert to fraction form
    4,801.84/7,201.36 = 1,681.28/x
  3. Step 3: Cross multiply
    4,801.84x = 7,201.36 × 1,681.28
  4. Step 4: Simplify right side
    4,801.84x = 12,107,502.54
  5. Step 5: Solve for x
    x = 12,107,502.54/4,801.84
  6. Step 6: Final answer
    x = 2,521.43

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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.