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Finding the Fourth Proportional to 3,386.52, 5,065.92 and 2,558.64

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Solution

The fourth proportional to 3,386.52, 5,065.92 and 2,558.64 is: 3,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.52 : 5,065.92 = 2,558.64 : x
  2. Step 2: Convert to fraction form
    3,386.52/5,065.92 = 2,558.64/x
  3. Step 3: Cross multiply
    3,386.52x = 5,065.92 × 2,558.64
  4. Step 4: Simplify right side
    3,386.52x = 12,961,865.55
  5. Step 5: Solve for x
    x = 12,961,865.55/3,386.52
  6. Step 6: Final answer
    x = 3,827.49

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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.