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Finding the Fourth Proportional to 4,663.64, 6,432 and 3,403.28

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Solution

The fourth proportional to 4,663.64, 6,432 and 3,403.28 is: 4,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.64 : 6,432 = 3,403.28 : x
  2. Step 2: Convert to fraction form
    4,663.64/6,432 = 3,403.28/x
  3. Step 3: Cross multiply
    4,663.64x = 6,432 × 3,403.28
  4. Step 4: Simplify right side
    4,663.64x = 21,889,896.96
  5. Step 5: Solve for x
    x = 21,889,896.96/4,663.64
  6. Step 6: Final answer
    x = 4,693.74

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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.