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Finding the Fourth Proportional to 5,430.38, 7,493.92 and 2,946.38

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Solution

The fourth proportional to 5,430.38, 7,493.92 and 2,946.38 is: 4,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.38 : 7,493.92 = 2,946.38 : x
  2. Step 2: Convert to fraction form
    5,430.38/7,493.92 = 2,946.38/x
  3. Step 3: Cross multiply
    5,430.38x = 7,493.92 × 2,946.38
  4. Step 4: Simplify right side
    5,430.38x = 22,079,891.17
  5. Step 5: Solve for x
    x = 22,079,891.17/5,430.38
  6. Step 6: Final answer
    x = 4,066.00

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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.