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Finding the Fourth Proportional to 3,605.34, 4,974.57 and 2,429.76

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Solution

The fourth proportional to 3,605.34, 4,974.57 and 2,429.76 is: 3,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.34 : 4,974.57 = 2,429.76 : x
  2. Step 2: Convert to fraction form
    3,605.34/4,974.57 = 2,429.76/x
  3. Step 3: Cross multiply
    3,605.34x = 4,974.57 × 2,429.76
  4. Step 4: Simplify right side
    3,605.34x = 12,087,011.20
  5. Step 5: Solve for x
    x = 12,087,011.20/3,605.34
  6. Step 6: Final answer
    x = 3,352.53

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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.