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Finding the Fourth Proportional to 3,480.04, 5,220.66 and 1,171

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Solution

The fourth proportional to 3,480.04, 5,220.66 and 1,171 is: 1,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.04 : 5,220.66 = 1,171 : x
  2. Step 2: Convert to fraction form
    3,480.04/5,220.66 = 1,171/x
  3. Step 3: Cross multiply
    3,480.04x = 5,220.66 × 1,171
  4. Step 4: Simplify right side
    3,480.04x = 6,113,392.86
  5. Step 5: Solve for x
    x = 6,113,392.86/3,480.04
  6. Step 6: Final answer
    x = 1,756.70

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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.