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Finding the Fourth Proportional to 3,296.40, 4,549.12 and 2,509.04

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Solution

The fourth proportional to 3,296.40, 4,549.12 and 2,509.04 is: 3,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.40 : 4,549.12 = 2,509.04 : x
  2. Step 2: Convert to fraction form
    3,296.40/4,549.12 = 2,509.04/x
  3. Step 3: Cross multiply
    3,296.40x = 4,549.12 × 2,509.04
  4. Step 4: Simplify right side
    3,296.40x = 11,413,924.04
  5. Step 5: Solve for x
    x = 11,413,924.04/3,296.40
  6. Step 6: Final answer
    x = 3,462.54

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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.