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Finding the Fourth Proportional to 3,404.60, 5,117.70 and 3,145.40

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Solution

The fourth proportional to 3,404.60, 5,117.70 and 3,145.40 is: 4,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.60 : 5,117.70 = 3,145.40 : x
  2. Step 2: Convert to fraction form
    3,404.60/5,117.70 = 3,145.40/x
  3. Step 3: Cross multiply
    3,404.60x = 5,117.70 × 3,145.40
  4. Step 4: Simplify right side
    3,404.60x = 16,097,213.58
  5. Step 5: Solve for x
    x = 16,097,213.58/3,404.60
  6. Step 6: Final answer
    x = 4,728.08

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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.