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Finding the Fourth Proportional to 3,603.64, 5,406.01 and 1,523.65

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Solution

The fourth proportional to 3,603.64, 5,406.01 and 1,523.65 is: 2,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.64 : 5,406.01 = 1,523.65 : x
  2. Step 2: Convert to fraction form
    3,603.64/5,406.01 = 1,523.65/x
  3. Step 3: Cross multiply
    3,603.64x = 5,406.01 × 1,523.65
  4. Step 4: Simplify right side
    3,603.64x = 8,236,840.11
  5. Step 5: Solve for x
    x = 8,236,840.11/3,603.64
  6. Step 6: Final answer
    x = 2,285.70

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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.