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Finding the Fourth Proportional to 3,820.04, 5,730.78 and 1,511.72

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Solution

The fourth proportional to 3,820.04, 5,730.78 and 1,511.72 is: 2,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.04 : 5,730.78 = 1,511.72 : x
  2. Step 2: Convert to fraction form
    3,820.04/5,730.78 = 1,511.72/x
  3. Step 3: Cross multiply
    3,820.04x = 5,730.78 × 1,511.72
  4. Step 4: Simplify right side
    3,820.04x = 8,663,334.74
  5. Step 5: Solve for x
    x = 8,663,334.74/3,820.04
  6. Step 6: Final answer
    x = 2,267.86

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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.