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Finding the Fourth Proportional to 4,671.12, 7,006.75 and 2,002.36

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Solution

The fourth proportional to 4,671.12, 7,006.75 and 2,002.36 is: 3,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.12 : 7,006.75 = 2,002.36 : x
  2. Step 2: Convert to fraction form
    4,671.12/7,006.75 = 2,002.36/x
  3. Step 3: Cross multiply
    4,671.12x = 7,006.75 × 2,002.36
  4. Step 4: Simplify right side
    4,671.12x = 14,030,035.93
  5. Step 5: Solve for x
    x = 14,030,035.93/4,671.12
  6. Step 6: Final answer
    x = 3,003.57

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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.