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Finding the Fourth Proportional to 4,043.82, 5,580.02 and 2,275.38

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Solution

The fourth proportional to 4,043.82, 5,580.02 and 2,275.38 is: 3,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.82 : 5,580.02 = 2,275.38 : x
  2. Step 2: Convert to fraction form
    4,043.82/5,580.02 = 2,275.38/x
  3. Step 3: Cross multiply
    4,043.82x = 5,580.02 × 2,275.38
  4. Step 4: Simplify right side
    4,043.82x = 12,696,654.53
  5. Step 5: Solve for x
    x = 12,696,654.53/4,043.82
  6. Step 6: Final answer
    x = 3,139.77

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Why These Related Problems?

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