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Finding the Fourth Proportional to 4,651.71, 6,420.51 and 3,162.12

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Solution

The fourth proportional to 4,651.71, 6,420.51 and 3,162.12 is: 4,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.71 : 6,420.51 = 3,162.12 : x
  2. Step 2: Convert to fraction form
    4,651.71/6,420.51 = 3,162.12/x
  3. Step 3: Cross multiply
    4,651.71x = 6,420.51 × 3,162.12
  4. Step 4: Simplify right side
    4,651.71x = 20,302,423.08
  5. Step 5: Solve for x
    x = 20,302,423.08/4,651.71
  6. Step 6: Final answer
    x = 4,364.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.