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Finding the Fourth Proportional to 3,546.99, 4,895.78 and 2,130.74

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Solution

The fourth proportional to 3,546.99, 4,895.78 and 2,130.74 is: 2,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.99 : 4,895.78 = 2,130.74 : x
  2. Step 2: Convert to fraction form
    3,546.99/4,895.78 = 2,130.74/x
  3. Step 3: Cross multiply
    3,546.99x = 4,895.78 × 2,130.74
  4. Step 4: Simplify right side
    3,546.99x = 10,431,617.50
  5. Step 5: Solve for x
    x = 10,431,617.50/3,546.99
  6. Step 6: Final answer
    x = 2,940.98

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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.