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Finding the Fourth Proportional to 3,547.16, 5,324.10 and 1,817

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Solution

The fourth proportional to 3,547.16, 5,324.10 and 1,817 is: 2,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.16 : 5,324.10 = 1,817 : x
  2. Step 2: Convert to fraction form
    3,547.16/5,324.10 = 1,817/x
  3. Step 3: Cross multiply
    3,547.16x = 5,324.10 × 1,817
  4. Step 4: Simplify right side
    3,547.16x = 9,673,889.70
  5. Step 5: Solve for x
    x = 9,673,889.70/3,547.16
  6. Step 6: Final answer
    x = 2,727.22

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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.