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Finding the Fourth Proportional to 3,730.76, 5,590.48 and 1,876.68

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Solution

The fourth proportional to 3,730.76, 5,590.48 and 1,876.68 is: 2,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.76 : 5,590.48 = 1,876.68 : x
  2. Step 2: Convert to fraction form
    3,730.76/5,590.48 = 1,876.68/x
  3. Step 3: Cross multiply
    3,730.76x = 5,590.48 × 1,876.68
  4. Step 4: Simplify right side
    3,730.76x = 10,491,542.01
  5. Step 5: Solve for x
    x = 10,491,542.01/3,730.76
  6. Step 6: Final answer
    x = 2,812.17

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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.