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Finding the Fourth Proportional to 3,605.34, 4,972.95 and 2,821.98

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Solution

The fourth proportional to 3,605.34, 4,972.95 and 2,821.98 is: 3,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.34 : 4,972.95 = 2,821.98 : x
  2. Step 2: Convert to fraction form
    3,605.34/4,972.95 = 2,821.98/x
  3. Step 3: Cross multiply
    3,605.34x = 4,972.95 × 2,821.98
  4. Step 4: Simplify right side
    3,605.34x = 14,033,565.44
  5. Step 5: Solve for x
    x = 14,033,565.44/3,605.34
  6. Step 6: Final answer
    x = 3,892.44

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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.