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Finding the Fourth Proportional to 4,573.77, 6,863.54 and 2,384.03

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Solution

The fourth proportional to 4,573.77, 6,863.54 and 2,384.03 is: 3,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.77 : 6,863.54 = 2,384.03 : x
  2. Step 2: Convert to fraction form
    4,573.77/6,863.54 = 2,384.03/x
  3. Step 3: Cross multiply
    4,573.77x = 6,863.54 × 2,384.03
  4. Step 4: Simplify right side
    4,573.77x = 16,362,890.50
  5. Step 5: Solve for x
    x = 16,362,890.50/4,573.77
  6. Step 6: Final answer
    x = 3,577.55

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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.