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Finding the Fourth Proportional to 6,258, 8,636.04 and 3,463.68

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Solution

The fourth proportional to 6,258, 8,636.04 and 3,463.68 is: 4,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258 : 8,636.04 = 3,463.68 : x
  2. Step 2: Convert to fraction form
    6,258/8,636.04 = 3,463.68/x
  3. Step 3: Cross multiply
    6,258x = 8,636.04 × 3,463.68
  4. Step 4: Simplify right side
    6,258x = 29,912,479.03
  5. Step 5: Solve for x
    x = 29,912,479.03/6,258
  6. Step 6: Final answer
    x = 4,779.88

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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.