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Finding the Fourth Proportional to 3,218.52, 4,822.74 and 2,569.08

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Solution

The fourth proportional to 3,218.52, 4,822.74 and 2,569.08 is: 3,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.52 : 4,822.74 = 2,569.08 : x
  2. Step 2: Convert to fraction form
    3,218.52/4,822.74 = 2,569.08/x
  3. Step 3: Cross multiply
    3,218.52x = 4,822.74 × 2,569.08
  4. Step 4: Simplify right side
    3,218.52x = 12,390,004.88
  5. Step 5: Solve for x
    x = 12,390,004.88/3,218.52
  6. Step 6: Final answer
    x = 3,849.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.