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Finding the Fourth Proportional to 4,158.64, 5,738.69 and 2,365.88

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Solution

The fourth proportional to 4,158.64, 5,738.69 and 2,365.88 is: 3,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.64 : 5,738.69 = 2,365.88 : x
  2. Step 2: Convert to fraction form
    4,158.64/5,738.69 = 2,365.88/x
  3. Step 3: Cross multiply
    4,158.64x = 5,738.69 × 2,365.88
  4. Step 4: Simplify right side
    4,158.64x = 13,577,011.37
  5. Step 5: Solve for x
    x = 13,577,011.37/4,158.64
  6. Step 6: Final answer
    x = 3,264.77

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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.