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Finding the Fourth Proportional to 5,155.47, 7,733.70 and 1,457.78

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Solution

The fourth proportional to 5,155.47, 7,733.70 and 1,457.78 is: 2,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.47 : 7,733.70 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    5,155.47/7,733.70 = 1,457.78/x
  3. Step 3: Cross multiply
    5,155.47x = 7,733.70 × 1,457.78
  4. Step 4: Simplify right side
    5,155.47x = 11,273,994.52
  5. Step 5: Solve for x
    x = 11,273,994.52/5,155.47
  6. Step 6: Final answer
    x = 2,186.80

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