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Finding the Fourth Proportional to 6,258.26, 8,636 and 3,463.76

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Solution

The fourth proportional to 6,258.26, 8,636 and 3,463.76 is: 4,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.26 : 8,636 = 3,463.76 : x
  2. Step 2: Convert to fraction form
    6,258.26/8,636 = 3,463.76/x
  3. Step 3: Cross multiply
    6,258.26x = 8,636 × 3,463.76
  4. Step 4: Simplify right side
    6,258.26x = 29,913,031.36
  5. Step 5: Solve for x
    x = 29,913,031.36/6,258.26
  6. Step 6: Final answer
    x = 4,779.77

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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.