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Finding the Fourth Proportional to 3,660.96, 5,486.58 and 2,342.28

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Solution

The fourth proportional to 3,660.96, 5,486.58 and 2,342.28 is: 3,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.96 : 5,486.58 = 2,342.28 : x
  2. Step 2: Convert to fraction form
    3,660.96/5,486.58 = 2,342.28/x
  3. Step 3: Cross multiply
    3,660.96x = 5,486.58 × 2,342.28
  4. Step 4: Simplify right side
    3,660.96x = 12,851,106.60
  5. Step 5: Solve for x
    x = 12,851,106.60/3,660.96
  6. Step 6: Final answer
    x = 3,510.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.