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Finding the Fourth Proportional to 4,600.60, 6,346.92 and 3,204.16

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Solution

The fourth proportional to 4,600.60, 6,346.92 and 3,204.16 is: 4,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.60 : 6,346.92 = 3,204.16 : x
  2. Step 2: Convert to fraction form
    4,600.60/6,346.92 = 3,204.16/x
  3. Step 3: Cross multiply
    4,600.60x = 6,346.92 × 3,204.16
  4. Step 4: Simplify right side
    4,600.60x = 20,336,547.19
  5. Step 5: Solve for x
    x = 20,336,547.19/4,600.60
  6. Step 6: Final answer
    x = 4,420.41

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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.