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Finding the Fourth Proportional to 3,063.84, 4,595.78 and 755.34

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Solution

The fourth proportional to 3,063.84, 4,595.78 and 755.34 is: 1,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.84 : 4,595.78 = 755.34 : x
  2. Step 2: Convert to fraction form
    3,063.84/4,595.78 = 755.34/x
  3. Step 3: Cross multiply
    3,063.84x = 4,595.78 × 755.34
  4. Step 4: Simplify right side
    3,063.84x = 3,471,376.47
  5. Step 5: Solve for x
    x = 3,471,376.47/3,063.84
  6. Step 6: Final answer
    x = 1,133.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.