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Finding the Fourth Proportional to 3,303.14, 4,549.57 and 2,461.14

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Solution

The fourth proportional to 3,303.14, 4,549.57 and 2,461.14 is: 3,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.14 : 4,549.57 = 2,461.14 : x
  2. Step 2: Convert to fraction form
    3,303.14/4,549.57 = 2,461.14/x
  3. Step 3: Cross multiply
    3,303.14x = 4,549.57 × 2,461.14
  4. Step 4: Simplify right side
    3,303.14x = 11,197,122.56
  5. Step 5: Solve for x
    x = 11,197,122.56/3,303.14
  6. Step 6: Final answer
    x = 3,389.85

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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.