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Finding the Fourth Proportional to 4,573.69, 6,311.70 and 2,477.81

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Solution

The fourth proportional to 4,573.69, 6,311.70 and 2,477.81 is: 3,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.69 : 6,311.70 = 2,477.81 : x
  2. Step 2: Convert to fraction form
    4,573.69/6,311.70 = 2,477.81/x
  3. Step 3: Cross multiply
    4,573.69x = 6,311.70 × 2,477.81
  4. Step 4: Simplify right side
    4,573.69x = 15,639,209.16
  5. Step 5: Solve for x
    x = 15,639,209.16/4,573.69
  6. Step 6: Final answer
    x = 3,419.39

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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.