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Finding the Fourth Proportional to 4,493.16, 6,741.18 and 3,465

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Solution

The fourth proportional to 4,493.16, 6,741.18 and 3,465 is: 5,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.16 : 6,741.18 = 3,465 : x
  2. Step 2: Convert to fraction form
    4,493.16/6,741.18 = 3,465/x
  3. Step 3: Cross multiply
    4,493.16x = 6,741.18 × 3,465
  4. Step 4: Simplify right side
    4,493.16x = 23,358,188.70
  5. Step 5: Solve for x
    x = 23,358,188.70/4,493.16
  6. Step 6: Final answer
    x = 5,198.61

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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.