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Finding the Fourth Proportional to 3,172.30, 4,762.35 and 2,002.30

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Solution

The fourth proportional to 3,172.30, 4,762.35 and 2,002.30 is: 3,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.30 : 4,762.35 = 2,002.30 : x
  2. Step 2: Convert to fraction form
    3,172.30/4,762.35 = 2,002.30/x
  3. Step 3: Cross multiply
    3,172.30x = 4,762.35 × 2,002.30
  4. Step 4: Simplify right side
    3,172.30x = 9,535,653.41
  5. Step 5: Solve for x
    x = 9,535,653.41/3,172.30
  6. Step 6: Final answer
    x = 3,005.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.