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Finding the Fourth Proportional to 5,142.99, 7,096.98 and 2,904.96

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Solution

The fourth proportional to 5,142.99, 7,096.98 and 2,904.96 is: 4,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.99 : 7,096.98 = 2,904.96 : x
  2. Step 2: Convert to fraction form
    5,142.99/7,096.98 = 2,904.96/x
  3. Step 3: Cross multiply
    5,142.99x = 7,096.98 × 2,904.96
  4. Step 4: Simplify right side
    5,142.99x = 20,616,443.02
  5. Step 5: Solve for x
    x = 20,616,443.02/5,142.99
  6. Step 6: Final answer
    x = 4,008.65

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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.