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Finding the Fourth Proportional to 5,291.99, 7,938.38 and 1,782

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Solution

The fourth proportional to 5,291.99, 7,938.38 and 1,782 is: 2,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.99 : 7,938.38 = 1,782 : x
  2. Step 2: Convert to fraction form
    5,291.99/7,938.38 = 1,782/x
  3. Step 3: Cross multiply
    5,291.99x = 7,938.38 × 1,782
  4. Step 4: Simplify right side
    5,291.99x = 14,146,184.25
  5. Step 5: Solve for x
    x = 14,146,184.25/5,291.99
  6. Step 6: Final answer
    x = 2,673.13

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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.