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Finding the Fourth Proportional to 4,532.70, 6,803.10 and 3,917.10

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Solution

The fourth proportional to 4,532.70, 6,803.10 and 3,917.10 is: 5,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.70 : 6,803.10 = 3,917.10 : x
  2. Step 2: Convert to fraction form
    4,532.70/6,803.10 = 3,917.10/x
  3. Step 3: Cross multiply
    4,532.70x = 6,803.10 × 3,917.10
  4. Step 4: Simplify right side
    4,532.70x = 26,648,423.01
  5. Step 5: Solve for x
    x = 26,648,423.01/4,532.70
  6. Step 6: Final answer
    x = 5,879.15

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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.