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Finding the Fourth Proportional to 3,603.01, 5,405.08 and 1,523.02

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Solution

The fourth proportional to 3,603.01, 5,405.08 and 1,523.02 is: 2,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.01 : 5,405.08 = 1,523.02 : x
  2. Step 2: Convert to fraction form
    3,603.01/5,405.08 = 1,523.02/x
  3. Step 3: Cross multiply
    3,603.01x = 5,405.08 × 1,523.02
  4. Step 4: Simplify right side
    3,603.01x = 8,232,037.33
  5. Step 5: Solve for x
    x = 8,232,037.33/3,603.01
  6. Step 6: Final answer
    x = 2,284.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.