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Finding the Fourth Proportional to 4,318.01, 6,477.85 and 1,685.41

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Solution

The fourth proportional to 4,318.01, 6,477.85 and 1,685.41 is: 2,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.01 : 6,477.85 = 1,685.41 : x
  2. Step 2: Convert to fraction form
    4,318.01/6,477.85 = 1,685.41/x
  3. Step 3: Cross multiply
    4,318.01x = 6,477.85 × 1,685.41
  4. Step 4: Simplify right side
    4,318.01x = 10,917,814.34
  5. Step 5: Solve for x
    x = 10,917,814.34/4,318.01
  6. Step 6: Final answer
    x = 2,528.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.