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Finding the Fourth Proportional to 5,852.85, 8,077.48 and 3,200.65

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Solution

The fourth proportional to 5,852.85, 8,077.48 and 3,200.65 is: 4,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.85 : 8,077.48 = 3,200.65 : x
  2. Step 2: Convert to fraction form
    5,852.85/8,077.48 = 3,200.65/x
  3. Step 3: Cross multiply
    5,852.85x = 8,077.48 × 3,200.65
  4. Step 4: Simplify right side
    5,852.85x = 25,853,186.36
  5. Step 5: Solve for x
    x = 25,853,186.36/5,852.85
  6. Step 6: Final answer
    x = 4,417.20

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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.