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Finding the Fourth Proportional to 3,518.64, 5,272.72 and 3,207.45

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Solution

The fourth proportional to 3,518.64, 5,272.72 and 3,207.45 is: 4,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.64 : 5,272.72 = 3,207.45 : x
  2. Step 2: Convert to fraction form
    3,518.64/5,272.72 = 3,207.45/x
  3. Step 3: Cross multiply
    3,518.64x = 5,272.72 × 3,207.45
  4. Step 4: Simplify right side
    3,518.64x = 16,911,997.52
  5. Step 5: Solve for x
    x = 16,911,997.52/3,518.64
  6. Step 6: Final answer
    x = 4,806.40

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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.