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Finding the Fourth Proportional to 3,647.89, 5,473.05 and 1,182.79

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Solution

The fourth proportional to 3,647.89, 5,473.05 and 1,182.79 is: 1,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.89 : 5,473.05 = 1,182.79 : x
  2. Step 2: Convert to fraction form
    3,647.89/5,473.05 = 1,182.79/x
  3. Step 3: Cross multiply
    3,647.89x = 5,473.05 × 1,182.79
  4. Step 4: Simplify right side
    3,647.89x = 6,473,468.81
  5. Step 5: Solve for x
    x = 6,473,468.81/3,647.89
  6. Step 6: Final answer
    x = 1,774.58

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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.