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Finding the Fourth Proportional to 4,034.64, 6,043.86 and 2,941.32

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Solution

The fourth proportional to 4,034.64, 6,043.86 and 2,941.32 is: 4,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.64 : 6,043.86 = 2,941.32 : x
  2. Step 2: Convert to fraction form
    4,034.64/6,043.86 = 2,941.32/x
  3. Step 3: Cross multiply
    4,034.64x = 6,043.86 × 2,941.32
  4. Step 4: Simplify right side
    4,034.64x = 17,776,926.30
  5. Step 5: Solve for x
    x = 17,776,926.30/4,034.64
  6. Step 6: Final answer
    x = 4,406.07

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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.