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Finding the Fourth Proportional to 3,776.16, 5,210.24 and 2,283.84

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Solution

The fourth proportional to 3,776.16, 5,210.24 and 2,283.84 is: 3,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.16 : 5,210.24 = 2,283.84 : x
  2. Step 2: Convert to fraction form
    3,776.16/5,210.24 = 2,283.84/x
  3. Step 3: Cross multiply
    3,776.16x = 5,210.24 × 2,283.84
  4. Step 4: Simplify right side
    3,776.16x = 11,899,354.52
  5. Step 5: Solve for x
    x = 11,899,354.52/3,776.16
  6. Step 6: Final answer
    x = 3,151.18

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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.