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Finding the Fourth Proportional to 4,865.46, 6,707.34 and 3,465.78

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Solution

The fourth proportional to 4,865.46, 6,707.34 and 3,465.78 is: 4,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.46 : 6,707.34 = 3,465.78 : x
  2. Step 2: Convert to fraction form
    4,865.46/6,707.34 = 3,465.78/x
  3. Step 3: Cross multiply
    4,865.46x = 6,707.34 × 3,465.78
  4. Step 4: Simplify right side
    4,865.46x = 23,246,147.50
  5. Step 5: Solve for x
    x = 23,246,147.50/4,865.46
  6. Step 6: Final answer
    x = 4,777.79

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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.