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Finding the Fourth Proportional to 5,215.36, 7,822.56 and 1,752.16

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Solution

The fourth proportional to 5,215.36, 7,822.56 and 1,752.16 is: 2,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.36 : 7,822.56 = 1,752.16 : x
  2. Step 2: Convert to fraction form
    5,215.36/7,822.56 = 1,752.16/x
  3. Step 3: Cross multiply
    5,215.36x = 7,822.56 × 1,752.16
  4. Step 4: Simplify right side
    5,215.36x = 13,706,376.73
  5. Step 5: Solve for x
    x = 13,706,376.73/5,215.36
  6. Step 6: Final answer
    x = 2,628.08

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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.