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Finding the Fourth Proportional to 5,655.99, 7,805.12 and 3,138.10

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Solution

The fourth proportional to 5,655.99, 7,805.12 and 3,138.10 is: 4,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.99 : 7,805.12 = 3,138.10 : x
  2. Step 2: Convert to fraction form
    5,655.99/7,805.12 = 3,138.10/x
  3. Step 3: Cross multiply
    5,655.99x = 7,805.12 × 3,138.10
  4. Step 4: Simplify right side
    5,655.99x = 24,493,247.07
  5. Step 5: Solve for x
    x = 24,493,247.07/5,655.99
  6. Step 6: Final answer
    x = 4,330.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.