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Finding the Fourth Proportional to 3,533.62, 4,877.09 and 2,041.45

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Solution

The fourth proportional to 3,533.62, 4,877.09 and 2,041.45 is: 2,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.62 : 4,877.09 = 2,041.45 : x
  2. Step 2: Convert to fraction form
    3,533.62/4,877.09 = 2,041.45/x
  3. Step 3: Cross multiply
    3,533.62x = 4,877.09 × 2,041.45
  4. Step 4: Simplify right side
    3,533.62x = 9,956,335.38
  5. Step 5: Solve for x
    x = 9,956,335.38/3,533.62
  6. Step 6: Final answer
    x = 2,817.60

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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.