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Finding the Fourth Proportional to 4,748.57, 7,122.87 and 1,461.64

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Solution

The fourth proportional to 4,748.57, 7,122.87 and 1,461.64 is: 2,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.57 : 7,122.87 = 1,461.64 : x
  2. Step 2: Convert to fraction form
    4,748.57/7,122.87 = 1,461.64/x
  3. Step 3: Cross multiply
    4,748.57x = 7,122.87 × 1,461.64
  4. Step 4: Simplify right side
    4,748.57x = 10,411,071.71
  5. Step 5: Solve for x
    x = 10,411,071.71/4,748.57
  6. Step 6: Final answer
    x = 2,192.46

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