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Finding the Fourth Proportional to 4,622.16, 6,934.77 and 2,283.84

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Solution

The fourth proportional to 4,622.16, 6,934.77 and 2,283.84 is: 3,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.16 : 6,934.77 = 2,283.84 : x
  2. Step 2: Convert to fraction form
    4,622.16/6,934.77 = 2,283.84/x
  3. Step 3: Cross multiply
    4,622.16x = 6,934.77 × 2,283.84
  4. Step 4: Simplify right side
    4,622.16x = 15,837,905.12
  5. Step 5: Solve for x
    x = 15,837,905.12/4,622.16
  6. Step 6: Final answer
    x = 3,426.52

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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.