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Finding the Fourth Proportional to 4,913.90, 7,373.90 and 2,140.59

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Solution

The fourth proportional to 4,913.90, 7,373.90 and 2,140.59 is: 3,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.90 : 7,373.90 = 2,140.59 : x
  2. Step 2: Convert to fraction form
    4,913.90/7,373.90 = 2,140.59/x
  3. Step 3: Cross multiply
    4,913.90x = 7,373.90 × 2,140.59
  4. Step 4: Simplify right side
    4,913.90x = 15,784,529.60
  5. Step 5: Solve for x
    x = 15,784,529.60/4,913.90
  6. Step 6: Final answer
    x = 3,212.22

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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.