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Finding the Fourth Proportional to 4,610.64, 6,365.48 and 3,118.80

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Solution

The fourth proportional to 4,610.64, 6,365.48 and 3,118.80 is: 4,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.64 : 6,365.48 = 3,118.80 : x
  2. Step 2: Convert to fraction form
    4,610.64/6,365.48 = 3,118.80/x
  3. Step 3: Cross multiply
    4,610.64x = 6,365.48 × 3,118.80
  4. Step 4: Simplify right side
    4,610.64x = 19,852,659.02
  5. Step 5: Solve for x
    x = 19,852,659.02/4,610.64
  6. Step 6: Final answer
    x = 4,305.84

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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.