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Finding the Fourth Proportional to 5,681.84, 7,839.73 and 3,323.52

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Solution

The fourth proportional to 5,681.84, 7,839.73 and 3,323.52 is: 4,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.84 : 7,839.73 = 3,323.52 : x
  2. Step 2: Convert to fraction form
    5,681.84/7,839.73 = 3,323.52/x
  3. Step 3: Cross multiply
    5,681.84x = 7,839.73 × 3,323.52
  4. Step 4: Simplify right side
    5,681.84x = 26,055,499.45
  5. Step 5: Solve for x
    x = 26,055,499.45/5,681.84
  6. Step 6: Final answer
    x = 4,585.75

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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.