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Finding the Fourth Proportional to 4,547.70, 6,810.62 and 3,082.41

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Solution

The fourth proportional to 4,547.70, 6,810.62 and 3,082.41 is: 4,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.70 : 6,810.62 = 3,082.41 : x
  2. Step 2: Convert to fraction form
    4,547.70/6,810.62 = 3,082.41/x
  3. Step 3: Cross multiply
    4,547.70x = 6,810.62 × 3,082.41
  4. Step 4: Simplify right side
    4,547.70x = 20,993,107.78
  5. Step 5: Solve for x
    x = 20,993,107.78/4,547.70
  6. Step 6: Final answer
    x = 4,616.20

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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.