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Finding the Fourth Proportional to 3,664.40, 5,062.08 and 2,955.20

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Solution

The fourth proportional to 3,664.40, 5,062.08 and 2,955.20 is: 4,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.40 : 5,062.08 = 2,955.20 : x
  2. Step 2: Convert to fraction form
    3,664.40/5,062.08 = 2,955.20/x
  3. Step 3: Cross multiply
    3,664.40x = 5,062.08 × 2,955.20
  4. Step 4: Simplify right side
    3,664.40x = 14,959,458.82
  5. Step 5: Solve for x
    x = 14,959,458.82/3,664.40
  6. Step 6: Final answer
    x = 4,082.38

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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.