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Finding the Fourth Proportional to 3,710.34, 5,564.16 and 1,519.29

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Solution

The fourth proportional to 3,710.34, 5,564.16 and 1,519.29 is: 2,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.34 : 5,564.16 = 1,519.29 : x
  2. Step 2: Convert to fraction form
    3,710.34/5,564.16 = 1,519.29/x
  3. Step 3: Cross multiply
    3,710.34x = 5,564.16 × 1,519.29
  4. Step 4: Simplify right side
    3,710.34x = 8,453,572.65
  5. Step 5: Solve for x
    x = 8,453,572.65/3,710.34
  6. Step 6: Final answer
    x = 2,278.38

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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.