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Finding the Fourth Proportional to 3,647.97, 5,030.88 and 2,388.63

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Solution

The fourth proportional to 3,647.97, 5,030.88 and 2,388.63 is: 3,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.97 : 5,030.88 = 2,388.63 : x
  2. Step 2: Convert to fraction form
    3,647.97/5,030.88 = 2,388.63/x
  3. Step 3: Cross multiply
    3,647.97x = 5,030.88 × 2,388.63
  4. Step 4: Simplify right side
    3,647.97x = 12,016,910.89
  5. Step 5: Solve for x
    x = 12,016,910.89/3,647.97
  6. Step 6: Final answer
    x = 3,294.14

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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.