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Finding the Fourth Proportional to 3,416.60, 5,124.90 and 3,234.35

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Solution

The fourth proportional to 3,416.60, 5,124.90 and 3,234.35 is: 4,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.60 : 5,124.90 = 3,234.35 : x
  2. Step 2: Convert to fraction form
    3,416.60/5,124.90 = 3,234.35/x
  3. Step 3: Cross multiply
    3,416.60x = 5,124.90 × 3,234.35
  4. Step 4: Simplify right side
    3,416.60x = 16,575,720.32
  5. Step 5: Solve for x
    x = 16,575,720.32/3,416.60
  6. Step 6: Final answer
    x = 4,851.53

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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.