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Finding the Fourth Proportional to 4,632.16, 6,947 and 2,165.70

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Solution

The fourth proportional to 4,632.16, 6,947 and 2,165.70 is: 3,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.16 : 6,947 = 2,165.70 : x
  2. Step 2: Convert to fraction form
    4,632.16/6,947 = 2,165.70/x
  3. Step 3: Cross multiply
    4,632.16x = 6,947 × 2,165.70
  4. Step 4: Simplify right side
    4,632.16x = 15,045,117.90
  5. Step 5: Solve for x
    x = 15,045,117.90/4,632.16
  6. Step 6: Final answer
    x = 3,247.97

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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.