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Finding the Fourth Proportional to 3,813.20, 5,710.20 and 3,045.20

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Solution

The fourth proportional to 3,813.20, 5,710.20 and 3,045.20 is: 4,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.20 : 5,710.20 = 3,045.20 : x
  2. Step 2: Convert to fraction form
    3,813.20/5,710.20 = 3,045.20/x
  3. Step 3: Cross multiply
    3,813.20x = 5,710.20 × 3,045.20
  4. Step 4: Simplify right side
    3,813.20x = 17,388,701.04
  5. Step 5: Solve for x
    x = 17,388,701.04/3,813.20
  6. Step 6: Final answer
    x = 4,560.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.