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Finding the Fourth Proportional to 5,657.67, 7,812.84 and 3,644.59

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Solution

The fourth proportional to 5,657.67, 7,812.84 and 3,644.59 is: 5,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.67 : 7,812.84 = 3,644.59 : x
  2. Step 2: Convert to fraction form
    5,657.67/7,812.84 = 3,644.59/x
  3. Step 3: Cross multiply
    5,657.67x = 7,812.84 × 3,644.59
  4. Step 4: Simplify right side
    5,657.67x = 28,474,579.00
  5. Step 5: Solve for x
    x = 28,474,579.00/5,657.67
  6. Step 6: Final answer
    x = 5,032.92

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1.5x scale

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.