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Finding the Fourth Proportional to 4,672.60, 6,444.30 and 3,496.48

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Solution

The fourth proportional to 4,672.60, 6,444.30 and 3,496.48 is: 4,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.60 : 6,444.30 = 3,496.48 : x
  2. Step 2: Convert to fraction form
    4,672.60/6,444.30 = 3,496.48/x
  3. Step 3: Cross multiply
    4,672.60x = 6,444.30 × 3,496.48
  4. Step 4: Simplify right side
    4,672.60x = 22,532,366.06
  5. Step 5: Solve for x
    x = 22,532,366.06/4,672.60
  6. Step 6: Final answer
    x = 4,822.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.