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Finding the Fourth Proportional to 3,655.40, 5,487.15 and 2,270.30

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Solution

The fourth proportional to 3,655.40, 5,487.15 and 2,270.30 is: 3,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.40 : 5,487.15 = 2,270.30 : x
  2. Step 2: Convert to fraction form
    3,655.40/5,487.15 = 2,270.30/x
  3. Step 3: Cross multiply
    3,655.40x = 5,487.15 × 2,270.30
  4. Step 4: Simplify right side
    3,655.40x = 12,457,476.65
  5. Step 5: Solve for x
    x = 12,457,476.65/3,655.40
  6. Step 6: Final answer
    x = 3,407.97

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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.