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Finding the Fourth Proportional to 5,816.52, 8,021.46 and 4,328.16

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Solution

The fourth proportional to 5,816.52, 8,021.46 and 4,328.16 is: 5,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.52 : 8,021.46 = 4,328.16 : x
  2. Step 2: Convert to fraction form
    5,816.52/8,021.46 = 4,328.16/x
  3. Step 3: Cross multiply
    5,816.52x = 8,021.46 × 4,328.16
  4. Step 4: Simplify right side
    5,816.52x = 34,718,162.31
  5. Step 5: Solve for x
    x = 34,718,162.31/5,816.52
  6. Step 6: Final answer
    x = 5,968.89

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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.