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Finding the Fourth Proportional to 4,446.95, 6,704.17 and 4,208.81

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Solution

The fourth proportional to 4,446.95, 6,704.17 and 4,208.81 is: 6,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.95 : 6,704.17 = 4,208.81 : x
  2. Step 2: Convert to fraction form
    4,446.95/6,704.17 = 4,208.81/x
  3. Step 3: Cross multiply
    4,446.95x = 6,704.17 × 4,208.81
  4. Step 4: Simplify right side
    4,446.95x = 28,216,533.69
  5. Step 5: Solve for x
    x = 28,216,533.69/4,446.95
  6. Step 6: Final answer
    x = 6,345.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.