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Finding the Fourth Proportional to 4,311.16, 6,457.02 and 3,533.56

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Solution

The fourth proportional to 4,311.16, 6,457.02 and 3,533.56 is: 5,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.16 : 6,457.02 = 3,533.56 : x
  2. Step 2: Convert to fraction form
    4,311.16/6,457.02 = 3,533.56/x
  3. Step 3: Cross multiply
    4,311.16x = 6,457.02 × 3,533.56
  4. Step 4: Simplify right side
    4,311.16x = 22,816,267.59
  5. Step 5: Solve for x
    x = 22,816,267.59/4,311.16
  6. Step 6: Final answer
    x = 5,292.37

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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.