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Finding the Fourth Proportional to 5,852.61, 8,769.02 and 3,539.25

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Solution

The fourth proportional to 5,852.61, 8,769.02 and 3,539.25 is: 5,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.61 : 8,769.02 = 3,539.25 : x
  2. Step 2: Convert to fraction form
    5,852.61/8,769.02 = 3,539.25/x
  3. Step 3: Cross multiply
    5,852.61x = 8,769.02 × 3,539.25
  4. Step 4: Simplify right side
    5,852.61x = 31,035,736.34
  5. Step 5: Solve for x
    x = 31,035,736.34/5,852.61
  6. Step 6: Final answer
    x = 5,302.89

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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.