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Finding the Fourth Proportional to 3,775.69, 5,210.57 and 2,283.88

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Solution

The fourth proportional to 3,775.69, 5,210.57 and 2,283.88 is: 3,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.69 : 5,210.57 = 2,283.88 : x
  2. Step 2: Convert to fraction form
    3,775.69/5,210.57 = 2,283.88/x
  3. Step 3: Cross multiply
    3,775.69x = 5,210.57 × 2,283.88
  4. Step 4: Simplify right side
    3,775.69x = 11,900,305.19
  5. Step 5: Solve for x
    x = 11,900,305.19/3,775.69
  6. Step 6: Final answer
    x = 3,151.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.