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Finding the Fourth Proportional to 3,506.74, 5,259.62 and 1,427.65

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Solution

The fourth proportional to 3,506.74, 5,259.62 and 1,427.65 is: 2,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.74 : 5,259.62 = 1,427.65 : x
  2. Step 2: Convert to fraction form
    3,506.74/5,259.62 = 1,427.65/x
  3. Step 3: Cross multiply
    3,506.74x = 5,259.62 × 1,427.65
  4. Step 4: Simplify right side
    3,506.74x = 7,508,889.35
  5. Step 5: Solve for x
    x = 7,508,889.35/3,506.74
  6. Step 6: Final answer
    x = 2,141.27

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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.