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Finding the Fourth Proportional to 3,641.40, 5,463.45 and 1,451.70

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Solution

The fourth proportional to 3,641.40, 5,463.45 and 1,451.70 is: 2,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.40 : 5,463.45 = 1,451.70 : x
  2. Step 2: Convert to fraction form
    3,641.40/5,463.45 = 1,451.70/x
  3. Step 3: Cross multiply
    3,641.40x = 5,463.45 × 1,451.70
  4. Step 4: Simplify right side
    3,641.40x = 7,931,290.37
  5. Step 5: Solve for x
    x = 7,931,290.37/3,641.40
  6. Step 6: Final answer
    x = 2,178.09

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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.