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Finding the Fourth Proportional to 5,320.84, 7,982.06 and 1,857.28

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Solution

The fourth proportional to 5,320.84, 7,982.06 and 1,857.28 is: 2,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.84 : 7,982.06 = 1,857.28 : x
  2. Step 2: Convert to fraction form
    5,320.84/7,982.06 = 1,857.28/x
  3. Step 3: Cross multiply
    5,320.84x = 7,982.06 × 1,857.28
  4. Step 4: Simplify right side
    5,320.84x = 14,824,920.40
  5. Step 5: Solve for x
    x = 14,824,920.40/5,320.84
  6. Step 6: Final answer
    x = 2,786.20

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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.