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Finding the Fourth Proportional to 4,577.70, 6,853.56 and 3,012.99

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Solution

The fourth proportional to 4,577.70, 6,853.56 and 3,012.99 is: 4,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.70 : 6,853.56 = 3,012.99 : x
  2. Step 2: Convert to fraction form
    4,577.70/6,853.56 = 3,012.99/x
  3. Step 3: Cross multiply
    4,577.70x = 6,853.56 × 3,012.99
  4. Step 4: Simplify right side
    4,577.70x = 20,649,707.74
  5. Step 5: Solve for x
    x = 20,649,707.74/4,577.70
  6. Step 6: Final answer
    x = 4,510.94

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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.