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Finding the Fourth Proportional to 3,675.70, 5,513.53 and 1,484.40

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Solution

The fourth proportional to 3,675.70, 5,513.53 and 1,484.40 is: 2,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.70 : 5,513.53 = 1,484.40 : x
  2. Step 2: Convert to fraction form
    3,675.70/5,513.53 = 1,484.40/x
  3. Step 3: Cross multiply
    3,675.70x = 5,513.53 × 1,484.40
  4. Step 4: Simplify right side
    3,675.70x = 8,184,283.93
  5. Step 5: Solve for x
    x = 8,184,283.93/3,675.70
  6. Step 6: Final answer
    x = 2,226.59

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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.