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Finding the Fourth Proportional to 4,782, 6,599.04 and 2,657.54

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Solution

The fourth proportional to 4,782, 6,599.04 and 2,657.54 is: 3,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 6,599.04 = 2,657.54 : x
  2. Step 2: Convert to fraction form
    4,782/6,599.04 = 2,657.54/x
  3. Step 3: Cross multiply
    4,782x = 6,599.04 × 2,657.54
  4. Step 4: Simplify right side
    4,782x = 17,537,179.77
  5. Step 5: Solve for x
    x = 17,537,179.77/4,782
  6. Step 6: Final answer
    x = 3,667.33

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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.