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Finding the Fourth Proportional to 3,493.07, 5,239.86 and 1,152.98

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Solution

The fourth proportional to 3,493.07, 5,239.86 and 1,152.98 is: 1,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.07 : 5,239.86 = 1,152.98 : x
  2. Step 2: Convert to fraction form
    3,493.07/5,239.86 = 1,152.98/x
  3. Step 3: Cross multiply
    3,493.07x = 5,239.86 × 1,152.98
  4. Step 4: Simplify right side
    3,493.07x = 6,041,482.11
  5. Step 5: Solve for x
    x = 6,041,482.11/3,493.07
  6. Step 6: Final answer
    x = 1,729.56

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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.