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Finding the Fourth Proportional to 3,480.16, 5,216.88 and 1,170

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Solution

The fourth proportional to 3,480.16, 5,216.88 and 1,170 is: 1,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.16 : 5,216.88 = 1,170 : x
  2. Step 2: Convert to fraction form
    3,480.16/5,216.88 = 1,170/x
  3. Step 3: Cross multiply
    3,480.16x = 5,216.88 × 1,170
  4. Step 4: Simplify right side
    3,480.16x = 6,103,749.60
  5. Step 5: Solve for x
    x = 6,103,749.60/3,480.16
  6. Step 6: Final answer
    x = 1,753.87

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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.