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Finding the Fourth Proportional to 3,496.56, 5,241.87 and 1,547.70

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Solution

The fourth proportional to 3,496.56, 5,241.87 and 1,547.70 is: 2,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.56 : 5,241.87 = 1,547.70 : x
  2. Step 2: Convert to fraction form
    3,496.56/5,241.87 = 1,547.70/x
  3. Step 3: Cross multiply
    3,496.56x = 5,241.87 × 1,547.70
  4. Step 4: Simplify right side
    3,496.56x = 8,112,842.20
  5. Step 5: Solve for x
    x = 8,112,842.20/3,496.56
  6. Step 6: Final answer
    x = 2,320.24

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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.