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Finding the Fourth Proportional to 4,573.85, 6,311.85 and 2,477.97

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Solution

The fourth proportional to 4,573.85, 6,311.85 and 2,477.97 is: 3,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.85 : 6,311.85 = 2,477.97 : x
  2. Step 2: Convert to fraction form
    4,573.85/6,311.85 = 2,477.97/x
  3. Step 3: Cross multiply
    4,573.85x = 6,311.85 × 2,477.97
  4. Step 4: Simplify right side
    4,573.85x = 15,640,574.94
  5. Step 5: Solve for x
    x = 15,640,574.94/4,573.85
  6. Step 6: Final answer
    x = 3,419.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.