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Finding the Fourth Proportional to 3,774.02, 5,659.21 and 1,582.16

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Solution

The fourth proportional to 3,774.02, 5,659.21 and 1,582.16 is: 2,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.02 : 5,659.21 = 1,582.16 : x
  2. Step 2: Convert to fraction form
    3,774.02/5,659.21 = 1,582.16/x
  3. Step 3: Cross multiply
    3,774.02x = 5,659.21 × 1,582.16
  4. Step 4: Simplify right side
    3,774.02x = 8,953,775.69
  5. Step 5: Solve for x
    x = 8,953,775.69/3,774.02
  6. Step 6: Final answer
    x = 2,372.48

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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.