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Finding the Fourth Proportional to 4,602.24, 6,351.06 and 2,506.36

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Solution

The fourth proportional to 4,602.24, 6,351.06 and 2,506.36 is: 3,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.24 : 6,351.06 = 2,506.36 : x
  2. Step 2: Convert to fraction form
    4,602.24/6,351.06 = 2,506.36/x
  3. Step 3: Cross multiply
    4,602.24x = 6,351.06 × 2,506.36
  4. Step 4: Simplify right side
    4,602.24x = 15,918,042.74
  5. Step 5: Solve for x
    x = 15,918,042.74/4,602.24
  6. Step 6: Final answer
    x = 3,458.76

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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.