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Finding the Fourth Proportional to 4,781.83, 7,184.02 and 2,812.51

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Solution

The fourth proportional to 4,781.83, 7,184.02 and 2,812.51 is: 4,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.83 : 7,184.02 = 2,812.51 : x
  2. Step 2: Convert to fraction form
    4,781.83/7,184.02 = 2,812.51/x
  3. Step 3: Cross multiply
    4,781.83x = 7,184.02 × 2,812.51
  4. Step 4: Simplify right side
    4,781.83x = 20,205,092.17
  5. Step 5: Solve for x
    x = 20,205,092.17/4,781.83
  6. Step 6: Final answer
    x = 4,225.39

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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.