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Finding the Fourth Proportional to 5,898.64, 8,087.37 and 5,793.34

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Solution

The fourth proportional to 5,898.64, 8,087.37 and 5,793.34 is: 7,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.64 : 8,087.37 = 5,793.34 : x
  2. Step 2: Convert to fraction form
    5,898.64/8,087.37 = 5,793.34/x
  3. Step 3: Cross multiply
    5,898.64x = 8,087.37 × 5,793.34
  4. Step 4: Simplify right side
    5,898.64x = 46,852,884.12
  5. Step 5: Solve for x
    x = 46,852,884.12/5,898.64
  6. Step 6: Final answer
    x = 7,943.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.