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Finding the Fourth Proportional to 3,487.83, 4,811.16 and 2,245.83

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Solution

The fourth proportional to 3,487.83, 4,811.16 and 2,245.83 is: 3,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.83 : 4,811.16 = 2,245.83 : x
  2. Step 2: Convert to fraction form
    3,487.83/4,811.16 = 2,245.83/x
  3. Step 3: Cross multiply
    3,487.83x = 4,811.16 × 2,245.83
  4. Step 4: Simplify right side
    3,487.83x = 10,805,047.46
  5. Step 5: Solve for x
    x = 10,805,047.46/3,487.83
  6. Step 6: Final answer
    x = 3,097.93

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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.