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Finding the Fourth Proportional to 3,711.75, 5,567.67 and 975.75

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Solution

The fourth proportional to 3,711.75, 5,567.67 and 975.75 is: 1,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.75 : 5,567.67 = 975.75 : x
  2. Step 2: Convert to fraction form
    3,711.75/5,567.67 = 975.75/x
  3. Step 3: Cross multiply
    3,711.75x = 5,567.67 × 975.75
  4. Step 4: Simplify right side
    3,711.75x = 5,432,654.00
  5. Step 5: Solve for x
    x = 5,432,654.00/3,711.75
  6. Step 6: Final answer
    x = 1,463.64

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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.