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Finding the Fourth Proportional to 5,092.76, 7,640.32 and 1,582.58

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Solution

The fourth proportional to 5,092.76, 7,640.32 and 1,582.58 is: 2,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.76 : 7,640.32 = 1,582.58 : x
  2. Step 2: Convert to fraction form
    5,092.76/7,640.32 = 1,582.58/x
  3. Step 3: Cross multiply
    5,092.76x = 7,640.32 × 1,582.58
  4. Step 4: Simplify right side
    5,092.76x = 12,091,417.63
  5. Step 5: Solve for x
    x = 12,091,417.63/5,092.76
  6. Step 6: Final answer
    x = 2,374.24

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