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Finding the Fourth Proportional to 4,394.40, 6,584.40 and 3,746.40

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Solution

The fourth proportional to 4,394.40, 6,584.40 and 3,746.40 is: 5,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.40 : 6,584.40 = 3,746.40 : x
  2. Step 2: Convert to fraction form
    4,394.40/6,584.40 = 3,746.40/x
  3. Step 3: Cross multiply
    4,394.40x = 6,584.40 × 3,746.40
  4. Step 4: Simplify right side
    4,394.40x = 24,667,796.16
  5. Step 5: Solve for x
    x = 24,667,796.16/4,394.40
  6. Step 6: Final answer
    x = 5,613.46

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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.