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Finding the Fourth Proportional to 3,501.64, 5,254.62 and 1,942.84

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Solution

The fourth proportional to 3,501.64, 5,254.62 and 1,942.84 is: 2,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.64 : 5,254.62 = 1,942.84 : x
  2. Step 2: Convert to fraction form
    3,501.64/5,254.62 = 1,942.84/x
  3. Step 3: Cross multiply
    3,501.64x = 5,254.62 × 1,942.84
  4. Step 4: Simplify right side
    3,501.64x = 10,208,885.92
  5. Step 5: Solve for x
    x = 10,208,885.92/3,501.64
  6. Step 6: Final answer
    x = 2,915.46

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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.