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Finding the Fourth Proportional to 6,233.64, 8,602 and 3,875.32

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Solution

The fourth proportional to 6,233.64, 8,602 and 3,875.32 is: 5,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.64 : 8,602 = 3,875.32 : x
  2. Step 2: Convert to fraction form
    6,233.64/8,602 = 3,875.32/x
  3. Step 3: Cross multiply
    6,233.64x = 8,602 × 3,875.32
  4. Step 4: Simplify right side
    6,233.64x = 33,335,502.64
  5. Step 5: Solve for x
    x = 33,335,502.64/6,233.64
  6. Step 6: Final answer
    x = 5,347.68

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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.