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Finding the Fourth Proportional to 5,165.84, 7,748.59 and 1,656.06

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Solution

The fourth proportional to 5,165.84, 7,748.59 and 1,656.06 is: 2,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.84 : 7,748.59 = 1,656.06 : x
  2. Step 2: Convert to fraction form
    5,165.84/7,748.59 = 1,656.06/x
  3. Step 3: Cross multiply
    5,165.84x = 7,748.59 × 1,656.06
  4. Step 4: Simplify right side
    5,165.84x = 12,832,129.96
  5. Step 5: Solve for x
    x = 12,832,129.96/5,165.84
  6. Step 6: Final answer
    x = 2,484.04

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