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Finding the Fourth Proportional to 4,097.01, 5,653.08 and 2,836.02

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Solution

The fourth proportional to 4,097.01, 5,653.08 and 2,836.02 is: 3,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.01 : 5,653.08 = 2,836.02 : x
  2. Step 2: Convert to fraction form
    4,097.01/5,653.08 = 2,836.02/x
  3. Step 3: Cross multiply
    4,097.01x = 5,653.08 × 2,836.02
  4. Step 4: Simplify right side
    4,097.01x = 16,032,247.94
  5. Step 5: Solve for x
    x = 16,032,247.94/4,097.01
  6. Step 6: Final answer
    x = 3,913.16

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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.