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Finding the Fourth Proportional to 5,797.48, 8,000.58 and 3,145

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Solution

The fourth proportional to 5,797.48, 8,000.58 and 3,145 is: 4,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.48 : 8,000.58 = 3,145 : x
  2. Step 2: Convert to fraction form
    5,797.48/8,000.58 = 3,145/x
  3. Step 3: Cross multiply
    5,797.48x = 8,000.58 × 3,145
  4. Step 4: Simplify right side
    5,797.48x = 25,161,824.10
  5. Step 5: Solve for x
    x = 25,161,824.10/5,797.48
  6. Step 6: Final answer
    x = 4,340.13

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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.