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Finding the Fourth Proportional to 5,639.88, 7,783.03 and 3,283.59

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Solution

The fourth proportional to 5,639.88, 7,783.03 and 3,283.59 is: 4,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.88 : 7,783.03 = 3,283.59 : x
  2. Step 2: Convert to fraction form
    5,639.88/7,783.03 = 3,283.59/x
  3. Step 3: Cross multiply
    5,639.88x = 7,783.03 × 3,283.59
  4. Step 4: Simplify right side
    5,639.88x = 25,556,279.48
  5. Step 5: Solve for x
    x = 25,556,279.48/5,639.88
  6. Step 6: Final answer
    x = 4,531.35

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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.