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Finding the Fourth Proportional to 5,684.63, 7,842.56 and 3,559.28

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Solution

The fourth proportional to 5,684.63, 7,842.56 and 3,559.28 is: 4,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.63 : 7,842.56 = 3,559.28 : x
  2. Step 2: Convert to fraction form
    5,684.63/7,842.56 = 3,559.28/x
  3. Step 3: Cross multiply
    5,684.63x = 7,842.56 × 3,559.28
  4. Step 4: Simplify right side
    5,684.63x = 27,913,809.95
  5. Step 5: Solve for x
    x = 27,913,809.95/5,684.63
  6. Step 6: Final answer
    x = 4,910.40

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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.