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Finding the Fourth Proportional to 5,540.58, 7,646.09 and 3,056.58

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Solution

The fourth proportional to 5,540.58, 7,646.09 and 3,056.58 is: 4,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.58 : 7,646.09 = 3,056.58 : x
  2. Step 2: Convert to fraction form
    5,540.58/7,646.09 = 3,056.58/x
  3. Step 3: Cross multiply
    5,540.58x = 7,646.09 × 3,056.58
  4. Step 4: Simplify right side
    5,540.58x = 23,370,885.77
  5. Step 5: Solve for x
    x = 23,370,885.77/5,540.58
  6. Step 6: Final answer
    x = 4,218.13

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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.