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Finding the Fourth Proportional to 3,503.84, 4,833 and 2,106.59

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Solution

The fourth proportional to 3,503.84, 4,833 and 2,106.59 is: 2,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.84 : 4,833 = 2,106.59 : x
  2. Step 2: Convert to fraction form
    3,503.84/4,833 = 2,106.59/x
  3. Step 3: Cross multiply
    3,503.84x = 4,833 × 2,106.59
  4. Step 4: Simplify right side
    3,503.84x = 10,181,149.47
  5. Step 5: Solve for x
    x = 10,181,149.47/3,503.84
  6. Step 6: Final answer
    x = 2,905.71

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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.