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Finding the Fourth Proportional to 4,109.73, 5,653 and 3,603.08

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Solution

The fourth proportional to 4,109.73, 5,653 and 3,603.08 is: 4,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.73 : 5,653 = 3,603.08 : x
  2. Step 2: Convert to fraction form
    4,109.73/5,653 = 3,603.08/x
  3. Step 3: Cross multiply
    4,109.73x = 5,653 × 3,603.08
  4. Step 4: Simplify right side
    4,109.73x = 20,368,211.24
  5. Step 5: Solve for x
    x = 20,368,211.24/4,109.73
  6. Step 6: Final answer
    x = 4,956.09

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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.