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Finding the Fourth Proportional to 5,742.39, 8,614.50 and 2,455.50

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Solution

The fourth proportional to 5,742.39, 8,614.50 and 2,455.50 is: 3,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.39 : 8,614.50 = 2,455.50 : x
  2. Step 2: Convert to fraction form
    5,742.39/8,614.50 = 2,455.50/x
  3. Step 3: Cross multiply
    5,742.39x = 8,614.50 × 2,455.50
  4. Step 4: Simplify right side
    5,742.39x = 21,152,904.75
  5. Step 5: Solve for x
    x = 21,152,904.75/5,742.39
  6. Step 6: Final answer
    x = 3,683.64

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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.