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Finding the Fourth Proportional to 4,032.76, 6,046.79 and 1,564.70

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Solution

The fourth proportional to 4,032.76, 6,046.79 and 1,564.70 is: 2,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.76 : 6,046.79 = 1,564.70 : x
  2. Step 2: Convert to fraction form
    4,032.76/6,046.79 = 1,564.70/x
  3. Step 3: Cross multiply
    4,032.76x = 6,046.79 × 1,564.70
  4. Step 4: Simplify right side
    4,032.76x = 9,461,393.46
  5. Step 5: Solve for x
    x = 9,461,393.46/4,032.76
  6. Step 6: Final answer
    x = 2,346.13

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