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Finding the Fourth Proportional to 3,776.57, 5,210.41 and 2,283.92

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Solution

The fourth proportional to 3,776.57, 5,210.41 and 2,283.92 is: 3,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.57 : 5,210.41 = 2,283.92 : x
  2. Step 2: Convert to fraction form
    3,776.57/5,210.41 = 2,283.92/x
  3. Step 3: Cross multiply
    3,776.57x = 5,210.41 × 2,283.92
  4. Step 4: Simplify right side
    3,776.57x = 11,900,159.61
  5. Step 5: Solve for x
    x = 11,900,159.61/3,776.57
  6. Step 6: Final answer
    x = 3,151.05

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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.