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Finding the Fourth Proportional to 5,752.51, 7,936.59 and 3,394.20

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Solution

The fourth proportional to 5,752.51, 7,936.59 and 3,394.20 is: 4,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.51 : 7,936.59 = 3,394.20 : x
  2. Step 2: Convert to fraction form
    5,752.51/7,936.59 = 3,394.20/x
  3. Step 3: Cross multiply
    5,752.51x = 7,936.59 × 3,394.20
  4. Step 4: Simplify right side
    5,752.51x = 26,938,373.78
  5. Step 5: Solve for x
    x = 26,938,373.78/5,752.51
  6. Step 6: Final answer
    x = 4,682.89

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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.