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Finding the Fourth Proportional to 5,604.44, 7,735.74 and 3,746.84

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Solution

The fourth proportional to 5,604.44, 7,735.74 and 3,746.84 is: 5,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.44 : 7,735.74 = 3,746.84 : x
  2. Step 2: Convert to fraction form
    5,604.44/7,735.74 = 3,746.84/x
  3. Step 3: Cross multiply
    5,604.44x = 7,735.74 × 3,746.84
  4. Step 4: Simplify right side
    5,604.44x = 28,984,580.06
  5. Step 5: Solve for x
    x = 28,984,580.06/5,604.44
  6. Step 6: Final answer
    x = 5,171.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.