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Finding the Fourth Proportional to 3,603.64, 5,405.46 and 1,006.58

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Solution

The fourth proportional to 3,603.64, 5,405.46 and 1,006.58 is: 1,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.64 : 5,405.46 = 1,006.58 : x
  2. Step 2: Convert to fraction form
    3,603.64/5,405.46 = 1,006.58/x
  3. Step 3: Cross multiply
    3,603.64x = 5,405.46 × 1,006.58
  4. Step 4: Simplify right side
    3,603.64x = 5,441,027.93
  5. Step 5: Solve for x
    x = 5,441,027.93/3,603.64
  6. Step 6: Final answer
    x = 1,509.87

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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.