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Finding the Fourth Proportional to 3,875.47, 5,810.77 and 2,821.66

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Solution

The fourth proportional to 3,875.47, 5,810.77 and 2,821.66 is: 4,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.47 : 5,810.77 = 2,821.66 : x
  2. Step 2: Convert to fraction form
    3,875.47/5,810.77 = 2,821.66/x
  3. Step 3: Cross multiply
    3,875.47x = 5,810.77 × 2,821.66
  4. Step 4: Simplify right side
    3,875.47x = 16,396,017.28
  5. Step 5: Solve for x
    x = 16,396,017.28/3,875.47
  6. Step 6: Final answer
    x = 4,230.72

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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.