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Finding the Fourth Proportional to 5,237.76, 7,854.56 and 1,538.72

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Solution

The fourth proportional to 5,237.76, 7,854.56 and 1,538.72 is: 2,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.76 : 7,854.56 = 1,538.72 : x
  2. Step 2: Convert to fraction form
    5,237.76/7,854.56 = 1,538.72/x
  3. Step 3: Cross multiply
    5,237.76x = 7,854.56 × 1,538.72
  4. Step 4: Simplify right side
    5,237.76x = 12,085,968.56
  5. Step 5: Solve for x
    x = 12,085,968.56/5,237.76
  6. Step 6: Final answer
    x = 2,307.47

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