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Finding the Fourth Proportional to 3,460.71, 4,775.00 and 3,342.15

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Solution

The fourth proportional to 3,460.71, 4,775.00 and 3,342.15 is: 4,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.71 : 4,775.00 = 3,342.15 : x
  2. Step 2: Convert to fraction form
    3,460.71/4,775.00 = 3,342.15/x
  3. Step 3: Cross multiply
    3,460.71x = 4,775.00 × 3,342.15
  4. Step 4: Simplify right side
    3,460.71x = 15,958,749.54
  5. Step 5: Solve for x
    x = 15,958,749.54/3,460.71
  6. Step 6: Final answer
    x = 4,611.41

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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.