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Finding the Fourth Proportional to 4,602.46, 6,903.57 and 1,315.78

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Solution

The fourth proportional to 4,602.46, 6,903.57 and 1,315.78 is: 1,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.46 : 6,903.57 = 1,315.78 : x
  2. Step 2: Convert to fraction form
    4,602.46/6,903.57 = 1,315.78/x
  3. Step 3: Cross multiply
    4,602.46x = 6,903.57 × 1,315.78
  4. Step 4: Simplify right side
    4,602.46x = 9,083,579.33
  5. Step 5: Solve for x
    x = 9,083,579.33/4,602.46
  6. Step 6: Final answer
    x = 1,973.64

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