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Finding the Fourth Proportional to 4,965.48, 6,852.72 and 3,395.68

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Solution

The fourth proportional to 4,965.48, 6,852.72 and 3,395.68 is: 4,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.48 : 6,852.72 = 3,395.68 : x
  2. Step 2: Convert to fraction form
    4,965.48/6,852.72 = 3,395.68/x
  3. Step 3: Cross multiply
    4,965.48x = 6,852.72 × 3,395.68
  4. Step 4: Simplify right side
    4,965.48x = 23,269,644.25
  5. Step 5: Solve for x
    x = 23,269,644.25/4,965.48
  6. Step 6: Final answer
    x = 4,686.28

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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.