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Finding the Fourth Proportional to 4,602.40, 6,343.72 and 3,256.27

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Solution

The fourth proportional to 4,602.40, 6,343.72 and 3,256.27 is: 4,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.40 : 6,343.72 = 3,256.27 : x
  2. Step 2: Convert to fraction form
    4,602.40/6,343.72 = 3,256.27/x
  3. Step 3: Cross multiply
    4,602.40x = 6,343.72 × 3,256.27
  4. Step 4: Simplify right side
    4,602.40x = 20,656,865.12
  5. Step 5: Solve for x
    x = 20,656,865.12/4,602.40
  6. Step 6: Final answer
    x = 4,488.28

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