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Finding the Fourth Proportional to 4,043.42, 5,580.05 and 2,275.05

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Solution

The fourth proportional to 4,043.42, 5,580.05 and 2,275.05 is: 3,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.42 : 5,580.05 = 2,275.05 : x
  2. Step 2: Convert to fraction form
    4,043.42/5,580.05 = 2,275.05/x
  3. Step 3: Cross multiply
    4,043.42x = 5,580.05 × 2,275.05
  4. Step 4: Simplify right side
    4,043.42x = 12,694,881.38
  5. Step 5: Solve for x
    x = 12,694,881.38/4,043.42
  6. Step 6: Final answer
    x = 3,139.64

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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.