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Finding the Fourth Proportional to 4,762.58, 7,136.51 and 2,419.02

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Solution

The fourth proportional to 4,762.58, 7,136.51 and 2,419.02 is: 3,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.58 : 7,136.51 = 2,419.02 : x
  2. Step 2: Convert to fraction form
    4,762.58/7,136.51 = 2,419.02/x
  3. Step 3: Cross multiply
    4,762.58x = 7,136.51 × 2,419.02
  4. Step 4: Simplify right side
    4,762.58x = 17,263,348.33
  5. Step 5: Solve for x
    x = 17,263,348.33/4,762.58
  6. Step 6: Final answer
    x = 3,624.79

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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.