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Finding the Fourth Proportional to 3,774.77, 5,662.97 and 1,582.24

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Solution

The fourth proportional to 3,774.77, 5,662.97 and 1,582.24 is: 2,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.77 : 5,662.97 = 1,582.24 : x
  2. Step 2: Convert to fraction form
    3,774.77/5,662.97 = 1,582.24/x
  3. Step 3: Cross multiply
    3,774.77x = 5,662.97 × 1,582.24
  4. Step 4: Simplify right side
    3,774.77x = 8,960,141.43
  5. Step 5: Solve for x
    x = 8,960,141.43/3,774.77
  6. Step 6: Final answer
    x = 2,373.69

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1.5x scale

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.