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Finding the Fourth Proportional to 5,890.27, 8,835.70 and 1,507.76

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Solution

The fourth proportional to 5,890.27, 8,835.70 and 1,507.76 is: 2,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.27 : 8,835.70 = 1,507.76 : x
  2. Step 2: Convert to fraction form
    5,890.27/8,835.70 = 1,507.76/x
  3. Step 3: Cross multiply
    5,890.27x = 8,835.70 × 1,507.76
  4. Step 4: Simplify right side
    5,890.27x = 13,322,115.03
  5. Step 5: Solve for x
    x = 13,322,115.03/5,890.27
  6. Step 6: Final answer
    x = 2,261.72

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1.5x scale

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.