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Finding the Fourth Proportional to 3,775.99, 5,663.54 and 1,002.87

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Solution

The fourth proportional to 3,775.99, 5,663.54 and 1,002.87 is: 1,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.99 : 5,663.54 = 1,002.87 : x
  2. Step 2: Convert to fraction form
    3,775.99/5,663.54 = 1,002.87/x
  3. Step 3: Cross multiply
    3,775.99x = 5,663.54 × 1,002.87
  4. Step 4: Simplify right side
    3,775.99x = 5,679,806.01
  5. Step 5: Solve for x
    x = 5,679,806.01/3,775.99
  6. Step 6: Final answer
    x = 1,504.19

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1.5x scale

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.