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Finding the Fourth Proportional to 4,491.60, 6,301.20 and 4,491.60

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Solution

The fourth proportional to 4,491.60, 6,301.20 and 4,491.60 is: 6,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.60 : 6,301.20 = 4,491.60 : x
  2. Step 2: Convert to fraction form
    4,491.60/6,301.20 = 4,491.60/x
  3. Step 3: Cross multiply
    4,491.60x = 6,301.20 × 4,491.60
  4. Step 4: Simplify right side
    4,491.60x = 28,302,469.92
  5. Step 5: Solve for x
    x = 28,302,469.92/4,491.60
  6. Step 6: Final answer
    x = 6,301.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.