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Finding the Fourth Proportional to 5,852.90, 8,077.16 and 3,200.27

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Solution

The fourth proportional to 5,852.90, 8,077.16 and 3,200.27 is: 4,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.90 : 8,077.16 = 3,200.27 : x
  2. Step 2: Convert to fraction form
    5,852.90/8,077.16 = 3,200.27/x
  3. Step 3: Cross multiply
    5,852.90x = 8,077.16 × 3,200.27
  4. Step 4: Simplify right side
    5,852.90x = 25,849,060.45
  5. Step 5: Solve for x
    x = 25,849,060.45/5,852.90
  6. Step 6: Final answer
    x = 4,416.45

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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.