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Finding the Fourth Proportional to 5,731.14, 8,606.62 and 3,405.76

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Solution

The fourth proportional to 5,731.14, 8,606.62 and 3,405.76 is: 5,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.14 : 8,606.62 = 3,405.76 : x
  2. Step 2: Convert to fraction form
    5,731.14/8,606.62 = 3,405.76/x
  3. Step 3: Cross multiply
    5,731.14x = 8,606.62 × 3,405.76
  4. Step 4: Simplify right side
    5,731.14x = 29,312,064.87
  5. Step 5: Solve for x
    x = 29,312,064.87/5,731.14
  6. Step 6: Final answer
    x = 5,114.52

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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.