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Finding the Fourth Proportional to 5,890.59, 8,125.64 and 3,678.75

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Solution

The fourth proportional to 5,890.59, 8,125.64 and 3,678.75 is: 5,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.59 : 8,125.64 = 3,678.75 : x
  2. Step 2: Convert to fraction form
    5,890.59/8,125.64 = 3,678.75/x
  3. Step 3: Cross multiply
    5,890.59x = 8,125.64 × 3,678.75
  4. Step 4: Simplify right side
    5,890.59x = 29,892,179.76
  5. Step 5: Solve for x
    x = 29,892,179.76/5,890.59
  6. Step 6: Final answer
    x = 5,074.56

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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.