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Finding the Fourth Proportional to 3,651.04, 5,476.02 and 1,342

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Solution

The fourth proportional to 3,651.04, 5,476.02 and 1,342 is: 2,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.04 : 5,476.02 = 1,342 : x
  2. Step 2: Convert to fraction form
    3,651.04/5,476.02 = 1,342/x
  3. Step 3: Cross multiply
    3,651.04x = 5,476.02 × 1,342
  4. Step 4: Simplify right side
    3,651.04x = 7,348,818.84
  5. Step 5: Solve for x
    x = 7,348,818.84/3,651.04
  6. Step 6: Final answer
    x = 2,012.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.