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Finding the Fourth Proportional to 3,493.65, 5,240.63 and 1,153.78

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Solution

The fourth proportional to 3,493.65, 5,240.63 and 1,153.78 is: 1,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.65 : 5,240.63 = 1,153.78 : x
  2. Step 2: Convert to fraction form
    3,493.65/5,240.63 = 1,153.78/x
  3. Step 3: Cross multiply
    3,493.65x = 5,240.63 × 1,153.78
  4. Step 4: Simplify right side
    3,493.65x = 6,046,534.08
  5. Step 5: Solve for x
    x = 6,046,534.08/3,493.65
  6. Step 6: Final answer
    x = 1,730.72

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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.