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Finding the Fourth Proportional to 4,673.72, 7,011.42 and 1,595

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Solution

The fourth proportional to 4,673.72, 7,011.42 and 1,595 is: 2,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.72 : 7,011.42 = 1,595 : x
  2. Step 2: Convert to fraction form
    4,673.72/7,011.42 = 1,595/x
  3. Step 3: Cross multiply
    4,673.72x = 7,011.42 × 1,595
  4. Step 4: Simplify right side
    4,673.72x = 11,183,214.90
  5. Step 5: Solve for x
    x = 11,183,214.90/4,673.72
  6. Step 6: Final answer
    x = 2,392.79

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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.