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Finding the Fourth Proportional to 4,752.74, 7,127.08 and 1,633.06

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Solution

The fourth proportional to 4,752.74, 7,127.08 and 1,633.06 is: 2,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.74 : 7,127.08 = 1,633.06 : x
  2. Step 2: Convert to fraction form
    4,752.74/7,127.08 = 1,633.06/x
  3. Step 3: Cross multiply
    4,752.74x = 7,127.08 × 1,633.06
  4. Step 4: Simplify right side
    4,752.74x = 11,638,954.09
  5. Step 5: Solve for x
    x = 11,638,954.09/4,752.74
  6. Step 6: Final answer
    x = 2,448.89

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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.