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Finding the Fourth Proportional to 3,494.42, 5,240.52 and 1,153.99

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Solution

The fourth proportional to 3,494.42, 5,240.52 and 1,153.99 is: 1,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.42 : 5,240.52 = 1,153.99 : x
  2. Step 2: Convert to fraction form
    3,494.42/5,240.52 = 1,153.99/x
  3. Step 3: Cross multiply
    3,494.42x = 5,240.52 × 1,153.99
  4. Step 4: Simplify right side
    3,494.42x = 6,047,518.55
  5. Step 5: Solve for x
    x = 6,047,518.55/3,494.42
  6. Step 6: Final answer
    x = 1,730.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.