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Finding the Fourth Proportional to 3,206.52, 4,409.52 and 2,569.08

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Solution

The fourth proportional to 3,206.52, 4,409.52 and 2,569.08 is: 3,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.52 : 4,409.52 = 2,569.08 : x
  2. Step 2: Convert to fraction form
    3,206.52/4,409.52 = 2,569.08/x
  3. Step 3: Cross multiply
    3,206.52x = 4,409.52 × 2,569.08
  4. Step 4: Simplify right side
    3,206.52x = 11,328,409.64
  5. Step 5: Solve for x
    x = 11,328,409.64/3,206.52
  6. Step 6: Final answer
    x = 3,532.93

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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.