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Finding the Fourth Proportional to 3,496.49, 5,243.33 and 1,547.33

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Solution

The fourth proportional to 3,496.49, 5,243.33 and 1,547.33 is: 2,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.49 : 5,243.33 = 1,547.33 : x
  2. Step 2: Convert to fraction form
    3,496.49/5,243.33 = 1,547.33/x
  3. Step 3: Cross multiply
    3,496.49x = 5,243.33 × 1,547.33
  4. Step 4: Simplify right side
    3,496.49x = 8,113,127.86
  5. Step 5: Solve for x
    x = 8,113,127.86/3,496.49
  6. Step 6: Final answer
    x = 2,320.37

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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.