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Finding the Fourth Proportional to 3,622.58, 5,429.95 and 1,774.94

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Solution

The fourth proportional to 3,622.58, 5,429.95 and 1,774.94 is: 2,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.58 : 5,429.95 = 1,774.94 : x
  2. Step 2: Convert to fraction form
    3,622.58/5,429.95 = 1,774.94/x
  3. Step 3: Cross multiply
    3,622.58x = 5,429.95 × 1,774.94
  4. Step 4: Simplify right side
    3,622.58x = 9,637,835.45
  5. Step 5: Solve for x
    x = 9,637,835.45/3,622.58
  6. Step 6: Final answer
    x = 2,660.49

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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.