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Finding the Fourth Proportional to 3,486.86, 5,225.15 and 2,558.12

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Solution

The fourth proportional to 3,486.86, 5,225.15 and 2,558.12 is: 3,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.86 : 5,225.15 = 2,558.12 : x
  2. Step 2: Convert to fraction form
    3,486.86/5,225.15 = 2,558.12/x
  3. Step 3: Cross multiply
    3,486.86x = 5,225.15 × 2,558.12
  4. Step 4: Simplify right side
    3,486.86x = 13,366,580.18
  5. Step 5: Solve for x
    x = 13,366,580.18/3,486.86
  6. Step 6: Final answer
    x = 3,833.42

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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.