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Finding the Fourth Proportional to 4,602.25, 6,351.24 and 2,506.51

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Solution

The fourth proportional to 4,602.25, 6,351.24 and 2,506.51 is: 3,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.25 : 6,351.24 = 2,506.51 : x
  2. Step 2: Convert to fraction form
    4,602.25/6,351.24 = 2,506.51/x
  3. Step 3: Cross multiply
    4,602.25x = 6,351.24 × 2,506.51
  4. Step 4: Simplify right side
    4,602.25x = 15,919,446.57
  5. Step 5: Solve for x
    x = 15,919,446.57/4,602.25
  6. Step 6: Final answer
    x = 3,459.06

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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.