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Finding the Fourth Proportional to 5,725.26, 8,562.78 and 4,984.14

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Solution

The fourth proportional to 5,725.26, 8,562.78 and 4,984.14 is: 7,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.26 : 8,562.78 = 4,984.14 : x
  2. Step 2: Convert to fraction form
    5,725.26/8,562.78 = 4,984.14/x
  3. Step 3: Cross multiply
    5,725.26x = 8,562.78 × 4,984.14
  4. Step 4: Simplify right side
    5,725.26x = 42,678,094.31
  5. Step 5: Solve for x
    x = 42,678,094.31/5,725.26
  6. Step 6: Final answer
    x = 7,454.35

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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.