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Finding the Fourth Proportional to 5,975.88, 8,957.58 and 2,024.16

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Solution

The fourth proportional to 5,975.88, 8,957.58 and 2,024.16 is: 3,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.88 : 8,957.58 = 2,024.16 : x
  2. Step 2: Convert to fraction form
    5,975.88/8,957.58 = 2,024.16/x
  3. Step 3: Cross multiply
    5,975.88x = 8,957.58 × 2,024.16
  4. Step 4: Simplify right side
    5,975.88x = 18,131,575.13
  5. Step 5: Solve for x
    x = 18,131,575.13/5,975.88
  6. Step 6: Final answer
    x = 3,034.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.