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Finding the Fourth Proportional to 5,337.06, 8,005.65 and 2,565.90

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Solution

The fourth proportional to 5,337.06, 8,005.65 and 2,565.90 is: 3,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.06 : 8,005.65 = 2,565.90 : x
  2. Step 2: Convert to fraction form
    5,337.06/8,005.65 = 2,565.90/x
  3. Step 3: Cross multiply
    5,337.06x = 8,005.65 × 2,565.90
  4. Step 4: Simplify right side
    5,337.06x = 20,541,697.34
  5. Step 5: Solve for x
    x = 20,541,697.34/5,337.06
  6. Step 6: Final answer
    x = 3,848.88

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