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Finding the Fourth Proportional to 3,057.84, 4,586.78 and 749.34

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Solution

The fourth proportional to 3,057.84, 4,586.78 and 749.34 is: 1,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.84 : 4,586.78 = 749.34 : x
  2. Step 2: Convert to fraction form
    3,057.84/4,586.78 = 749.34/x
  3. Step 3: Cross multiply
    3,057.84x = 4,586.78 × 749.34
  4. Step 4: Simplify right side
    3,057.84x = 3,437,057.73
  5. Step 5: Solve for x
    x = 3,437,057.73/3,057.84
  6. Step 6: Final answer
    x = 1,124.01

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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.