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Finding the Fourth Proportional to 3,253.12, 4,484.64 and 2,320

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Solution

The fourth proportional to 3,253.12, 4,484.64 and 2,320 is: 3,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.12 : 4,484.64 = 2,320 : x
  2. Step 2: Convert to fraction form
    3,253.12/4,484.64 = 2,320/x
  3. Step 3: Cross multiply
    3,253.12x = 4,484.64 × 2,320
  4. Step 4: Simplify right side
    3,253.12x = 10,404,364.80
  5. Step 5: Solve for x
    x = 10,404,364.80/3,253.12
  6. Step 6: Final answer
    x = 3,198.27

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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.