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Finding the Fourth Proportional to 5,142.56, 7,096.08 and 2,904.56

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Solution

The fourth proportional to 5,142.56, 7,096.08 and 2,904.56 is: 4,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.56 : 7,096.08 = 2,904.56 : x
  2. Step 2: Convert to fraction form
    5,142.56/7,096.08 = 2,904.56/x
  3. Step 3: Cross multiply
    5,142.56x = 7,096.08 × 2,904.56
  4. Step 4: Simplify right side
    5,142.56x = 20,610,990.12
  5. Step 5: Solve for x
    x = 20,610,990.12/5,142.56
  6. Step 6: Final answer
    x = 4,007.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.