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Finding the Fourth Proportional to 4,599.68, 6,352.73 and 3,105

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Solution

The fourth proportional to 4,599.68, 6,352.73 and 3,105 is: 4,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.68 : 6,352.73 = 3,105 : x
  2. Step 2: Convert to fraction form
    4,599.68/6,352.73 = 3,105/x
  3. Step 3: Cross multiply
    4,599.68x = 6,352.73 × 3,105
  4. Step 4: Simplify right side
    4,599.68x = 19,725,222.77
  5. Step 5: Solve for x
    x = 19,725,222.77/4,599.68
  6. Step 6: Final answer
    x = 4,288.39

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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.