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Finding the Fourth Proportional to 4,651.68, 6,943.64 and 4,309.04

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Solution

The fourth proportional to 4,651.68, 6,943.64 and 4,309.04 is: 6,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.68 : 6,943.64 = 4,309.04 : x
  2. Step 2: Convert to fraction form
    4,651.68/6,943.64 = 4,309.04/x
  3. Step 3: Cross multiply
    4,651.68x = 6,943.64 × 4,309.04
  4. Step 4: Simplify right side
    4,651.68x = 29,920,422.51
  5. Step 5: Solve for x
    x = 29,920,422.51/4,651.68
  6. Step 6: Final answer
    x = 6,432.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.