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Finding the Fourth Proportional to 3,860.16, 5,326.20 and 2,288.76

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Solution

The fourth proportional to 3,860.16, 5,326.20 and 2,288.76 is: 3,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.16 : 5,326.20 = 2,288.76 : x
  2. Step 2: Convert to fraction form
    3,860.16/5,326.20 = 2,288.76/x
  3. Step 3: Cross multiply
    3,860.16x = 5,326.20 × 2,288.76
  4. Step 4: Simplify right side
    3,860.16x = 12,190,393.51
  5. Step 5: Solve for x
    x = 12,190,393.51/3,860.16
  6. Step 6: Final answer
    x = 3,158.00

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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.