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Finding the Fourth Proportional to 3,496.59, 5,245.83 and 1,031.49

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Solution

The fourth proportional to 3,496.59, 5,245.83 and 1,031.49 is: 1,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.59 : 5,245.83 = 1,031.49 : x
  2. Step 2: Convert to fraction form
    3,496.59/5,245.83 = 1,031.49/x
  3. Step 3: Cross multiply
    3,496.59x = 5,245.83 × 1,031.49
  4. Step 4: Simplify right side
    3,496.59x = 5,411,021.19
  5. Step 5: Solve for x
    x = 5,411,021.19/3,496.59
  6. Step 6: Final answer
    x = 1,547.51

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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.