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Finding the Fourth Proportional to 3,430.36, 5,142.04 and 1,582.84

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Solution

The fourth proportional to 3,430.36, 5,142.04 and 1,582.84 is: 2,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.36 : 5,142.04 = 1,582.84 : x
  2. Step 2: Convert to fraction form
    3,430.36/5,142.04 = 1,582.84/x
  3. Step 3: Cross multiply
    3,430.36x = 5,142.04 × 1,582.84
  4. Step 4: Simplify right side
    3,430.36x = 8,139,026.59
  5. Step 5: Solve for x
    x = 8,139,026.59/3,430.36
  6. Step 6: Final answer
    x = 2,372.65

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