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Finding the Fourth Proportional to 4,646.38, 6,936.46 and 4,451.98

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Solution

The fourth proportional to 4,646.38, 6,936.46 and 4,451.98 is: 6,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.38 : 6,936.46 = 4,451.98 : x
  2. Step 2: Convert to fraction form
    4,646.38/6,936.46 = 4,451.98/x
  3. Step 3: Cross multiply
    4,646.38x = 6,936.46 × 4,451.98
  4. Step 4: Simplify right side
    4,646.38x = 30,880,981.19
  5. Step 5: Solve for x
    x = 30,880,981.19/4,646.38
  6. Step 6: Final answer
    x = 6,646.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.