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Finding the Fourth Proportional to 5,142.42, 7,096.41 and 2,904.53

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Solution

The fourth proportional to 5,142.42, 7,096.41 and 2,904.53 is: 4,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.42 : 7,096.41 = 2,904.53 : x
  2. Step 2: Convert to fraction form
    5,142.42/7,096.41 = 2,904.53/x
  3. Step 3: Cross multiply
    5,142.42x = 7,096.41 × 2,904.53
  4. Step 4: Simplify right side
    5,142.42x = 20,611,700.26
  5. Step 5: Solve for x
    x = 20,611,700.26/5,142.42
  6. Step 6: Final answer
    x = 4,008.17

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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.