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Finding the Fourth Proportional to 6,258.16, 8,634.36 and 3,604

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Solution

The fourth proportional to 6,258.16, 8,634.36 and 3,604 is: 4,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.16 : 8,634.36 = 3,604 : x
  2. Step 2: Convert to fraction form
    6,258.16/8,634.36 = 3,604/x
  3. Step 3: Cross multiply
    6,258.16x = 8,634.36 × 3,604
  4. Step 4: Simplify right side
    6,258.16x = 31,118,233.44
  5. Step 5: Solve for x
    x = 31,118,233.44/6,258.16
  6. Step 6: Final answer
    x = 4,972.43

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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.