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Finding the Fourth Proportional to 5,457.70, 8,170.35 and 3,265.30

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Solution

The fourth proportional to 5,457.70, 8,170.35 and 3,265.30 is: 4,888.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.70 : 8,170.35 = 3,265.30 : x
  2. Step 2: Convert to fraction form
    5,457.70/8,170.35 = 3,265.30/x
  3. Step 3: Cross multiply
    5,457.70x = 8,170.35 × 3,265.30
  4. Step 4: Simplify right side
    5,457.70x = 26,678,643.86
  5. Step 5: Solve for x
    x = 26,678,643.86/5,457.70
  6. Step 6: Final answer
    x = 4,888.26

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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.